A company that makes sweatshirts finds that the monthly demand is modeled by the equation qD = –8p + 500 where p is the price, in dollars, of a sweatshirt.  What is the correct interpretation of the slope of this demand function qD? A.For every $8 decrease in price, they sell 1 less sweatshirt. B.For every $1 increase in price, they sell 8 fewer sweatshirts. C.For every $1 decrease in price, they sell 8 fewer sweatshirts. D.For every $1 increase in price, they sell 8 more sweatshirts. E. For every $8 increase in price, they sell 1 less sweatshirt.

Q: For the demand equation, express the total revenue R as a function of the price p per item. q = −2p…

A: Given that the demand function is: q = −2p + 200So the revenue function is:R(q)=pq=p(−2p + 200)=−2p2…

Q: A bike rental company charges its customers p dollars per day to rent a bike, where 5≤p≤25. The…

A: The given linear function given and the revenue function from that can be written as follows.

Q: find the demand equation, express the total revenue a sa function of the price p per item. q=-2p+200…

A:

Q: 20. A plant can manufacture 80 items for a cost of $7,647 and 100 items for $9,147. If the cost and…

A: Let the linear function which relates the cost y and production x be y = mx + b.From the given…

Q: Suppose the demand for a certain item is given by D(p) = - 3p2 – 7p+ 200, wherep represents the…

A: We have to find rate of change of demand:

Q: The manager of a furniture factory finds that it costs $2200 to produce 100 chairs in one day and…

A: Let,  C(x) is a linear function that models the cost of producing xchairs in one day. To find : The…

Q: The credit remaining on a phone card (in dollars) is a linear function of the total calling time…

A: Write the linear equation of the line using two point form then calculate the third point according…

Q: Suppose that the monthly cost of a long-distance phone plan (in dollars) is a linear function of the…

A:

Q: For the demand equation, express the total revenue R as a function of the price p per item. q = −8p…

A: revenue function is R=pq

Q: The median price of a home in a certain county at the beginning of 1980 was $210,000. At the…

A: Let Mx=ax+b be the median price of a home in the country x years since the beginning of 1980.  From…

Q: Given the following equation, what is the slope of the linear function? 2 2

A:

Q: Bill was just offered a sales position for a computer company. His salary would be $15,000 per year…

A: Given: His salary is $15,000 per year plus 1% of his total annual sales.

Q: 3. An appliance manufacturer finds that it costs $9000 to produce 1000 toasters per week and $12,000…

A: when 1000 toaster per week is produced, then cost of production = 9000, when 1500 toaster per week…

Q: Bill was just offered a sales position for a computer company. His salary would be $25,000 per year…

A: We will use linear function for salary as function of sales to find required values

Q: The number of fat grams f consumed daily by the average American can be approximated by f 165 +…

A:

Q: Suppose that Internet domain names are sold at a price of $P per month for $2 ≤ P ≤ $100. The number…

A: Consider that the number of customers are linear functions of price that is, C=aP+b. Given when…

Q: Write a linear cost function for the following situation. A ski resort charges a snowboard rental…

A: Since resort charges a fixed rental charges for snowboard which is $40 irrespective of how for…

Q: Write a linear cost function for the following situation. A ski resort charges a snowboard rental…

A: Given :   A ski resort charges a snowboard rental fee of $20 plus $9.50 per hour

Q: What is the formula for cost C as a linear function t, the number of cups of coffee

A:

Q: 00- 66.6 67.4 69.8 70.9 74.3 75.4 50-

A:

Q: The credit remaining on a phone card (in dollars) is a linear function of the total calling time…

A:

Q: Bill was just offered a sales position fora computer company. His salary would be $25,000 per…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Find and interpret the slope for each real-world situation. 13. 180 (8, 170) 160 140 120 100 (4,…

A: To find and interpret the slope for each real-world situation. (13)  (14)

Q: For the demand equation, exprers the total revenue R as a function of the price p per item. q = -2p…

A: We know that  Total revenue = quality sold * price  R(p) = p*q R(p) = p ( -2p + 40) R(p)  = -2p2 +…

Q: Which linear function relates the total cost of renting a truck in dollars, C, to the number of…

A: here we take the information from the graph and the equation will be solution if satisfy the…

Q: Suppose the demand for a certain item is given by D(p) = -3p2 - 5p + 700, where p represents the…

A: (a) Differentiate the demand function with respect to price p.

Q: Write a linear cost function for the following situation. A ski resort charges a snowboard rental…

A:

Q: determine whether the following eqaution can be written as a linear function -4x2+4y2=4

A: We have to check

Q: A farmer sells eggs for $0.15 each, and he charges $1.25 to package up the order, no matter how many…

A:

Q: A company has monthly fixed costs of $14,000. The production cost of each item is $21 and each item…

A:

Q: An account executive receives a base salary plus a commission. With $23,000 in monthly sales, the…

A: Formula: The equation of line passing through two points (x1, y1) and (x2, y2) is (y - y1) = y2-y1x2…

Q: Which function has the smaller slope? A) y= 4x+ 7 Tawoda olds B) X Y -1 3 3. 3. C) Neither, they are…

A:

Q: A company charting its profits notices that the relationship between the number of units sold, x,…

A: Given: Profit earned on selling 200 units is $3100. Profit earned on selling 252 units is $6000.…

Q: For a certain group of animals, the running speed, and feet per second, is a linear Function of the…

A: Assume the length of one animal be L. So, the length of another animal will be L+5.

Q: Suppose the wholesale price of a certain brand of medium-sized eggs p (in dollars/carton) is related…

A: Given that, the wholesale price of a certain brand of medium-sized eggs p (in dollars/carton) is…

Q: suppose f is a linear function with f (6)= 18.04.  If the slope of is 2.34, what is the value of f…

A:

Q: Determine whether the equation of the curve can be written as a linear function. 3x2 + 8y = 24

A:

Q: If the demand for a pair of shoes is given by 2p + 5q = 200 and the supply function for it is p - 2q…

A: Here given the demand for pair of shoes:  2p+5q=200   .......1 The supply function: p-2q=10…

Q: The corresponding data for electricity generated by hydropower are 248 million meaawatt hours in…

A:

Q: salesman at a furniture store that is costs $4400 to produce 10 tables and $9600 to produce 300…

A:

Q: How do I solve this?

A: We first calculate the marginal price for the given week.

Q: Suppose that the price p​ (in dollars) and the weekly sales x​ (in thousands of​ units) of a certain…

A: Given- Demand equation 4p3x2=33,600 To determine- the rate at which sales are changing at a time…

Q: Given the linear function below, identify the slope 0 3 4 O 4 4 4/3

A:

Q: 3. An appliance manufacturer finds that it costs $9000 to produce 1000 toasters per week and $12,000…

A: Here, given that an appliance manufacturer finds that it costs $9000 to produce 1000 toasters per…

Q: Suppose that the monthly cost of a long-distance phone plan (in dollars) is a linear function of the…

A: The linear function with a slope m and point (x1,y1) is given by  (y-y1) = m( x-x1)

Q: Suppose that a car’s worth depreciates at a constant rate.  You bought the car in 2002 for $18,000…

A: Bought the car in 2002 for $18000, after five years at 2007 price of the car becomes $12000.  Given…

Q: Given the function values f(−3)=4 and f(3)=10, write a linear function f(x)=mx+b. (hint: you may…

A: The formula of the slope of a line is, m=y2-y1x2-x1 the equation tells us that x1=-3 and y1=4. the…

Q: Given the linear function below, identify the slope O-1 O-4 0 1 4 O 1 4

A: From graph the line passing through (0,-1) and (1,3) Therefore the slope (3-(-1))/(1-0) =(3+1)/1…

Q: Given the function values f(0)=−4 and f(5)=0, write a linear function f(x)=mx+b. (hint: you may need…

A:

Q: For Americans who are x years of age, the percentage who have been diagnosed with diabetes is given…

A: We will find the meaning and the slope as following.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.