Two friends, Chloe and Gianna, took summer jobs. The equation y = 29.8x represents Gianna's earnings in dollars and cents, y, for working x hours. Th below represents Chloe's earnings in dollars and cents, y, for working a hour Chloe's Earnings Hours (æ) Earnings (y) 20 $426 30 $639 40 $852

Q: The value of y is 5 more than x. Represent this relationship using an equation. y +5 x yx+ 5

A: (1) for y+5=xPut some random values 1,2,3 of x  we  get that when x=1y=-4When x=2y=-3in this case y…

Q: A food truck vendor averages 150 tacos sold when the price per taco is $4.A study shows that the…

A: Given that, the food truck's average sales in dollar is s and and price per taco is x.  Let us…

Q: The number of calories, c, burned while walking is directly proportional to the distance, d, a…

A:

Q: On the line y = 2x + 1, what value of Δy corresponds to Δx = 3? Δy =

A: y=2x+1 We have to find ∆y corresponding to ∆x=3.

Q: Chelsea believes that her score on an upcoming test can be modeled by the equation y=5.6x+53 where…

A: Solution: Let x represents the number of hours spent studying and y be the Chelsea’s test score.…

Q: A car travel at 15 mph and a truck travel at 32 mph. The car needs two and a half hours more than…

A: Given: Speed of a car is 15 mph and speed of a truck is 32 mph. The car takes two and half hours…

Q: The equation y = -0.0017x + 52.1926 represents the relationship between the temperature and the…

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Q: The table below shows the amount that must be repaid, y, when x dollars are borrowed. Amount…

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Q: A movie theater charges 8.75 for entrance and boxes of candy are $4 each. Write a linear equation to…

A: From the given information, it is observed that the theater charges 8.75 for entrance and boxes of…

Q: Eliminate the arbitrary constant of the equation: y2(a-x)=x3

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Q: A human slingshot was used to launch a stunt  man into the air across two football fields where he…

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Q: The equation y = 9x + 15 represents the relationship between the number of bags sold and the cost of…

A: Given equation is y=9x+15and no.of bags sold (x) is 18.

Q: The equation y = 6.758x + 50 represents the relationship between the weight of the sharks and the…

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Q: "Statins" are used to keep cholesterol in check and are a top-selling drug in the U.S. The equation:…

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Q: A local specialty delivery service charges a fee of $5 for each delivery plus 25 cents for each mile…

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Q: The equation x2 + y? – z = 0 in R³ describes

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Q: Jose left the White House and drove toward the recycling plant at an average speed of 40 km/h. Rob…

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Q: The equation a² + y? + 4z2 = 25 in R° describes

A: We have to describes the given equation in R^3

Q: Chelsea believes that her score on an upcoming test can be modeled by the equation y = 7.3x + 61…

A: Solution: Let x be the number of hours spent studying and y be the Chelsea’s test score. From the…

Q: Jose left the White House and drove toward the recycling plant at an average speed of 40 km/h . Rob…

A: Speed of Jose : vj = 40 kmph Speed of Rob :  vr = 48 kmph Let, At t =0, Rob starts driving. So at t…

Q: Ms. Smith decided to purchase bags of M&Ms and Hershey Bars for all of her students. Each M&M Bag…

A: Given query is to find equation to modal the situation.

Q: Determine if they are linear equations and explain why or why not.

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Q: Consider the problem described below. If y is the amount of money in the purse and x is the number…

A: Given, y is amount of money x is no of days

Q: - Joey is a cab driver. For his first trip, he travels 8 miles and earns $10. For his second trip,…

A: Explanation and solutions is given below....

Q: The amount of simple interest earned, n, varies directly as the rate of interest, r, and the number…

A: Given:  The interest 'I' earned is proportional to time 't' and simple rate of interest 'r'.   I =…

Q: At a corner gas station, the revenue R varies directly with the number g of gallons of gasoline…

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Q: write an equation describingthe relationship of the given variables  a) y varies jointly as x and…

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Q: Sue Flay opened a McDonald's on White Plains Road and Cassa Role opened a Burger King across the…

A: We will find how fast profit from McDonald's  and Burger king  increasing and depending on that we…

Q: On Friday, Jessica babysat for 3 hours and earned $27. On Saturday, Jessica babysat for 6 hours and…

A:

Q: Complete the table of values for the given equation. 4x + y = -24 x -7 0 1 y

A: Here, we substitute the values of x in given equation ,and find the corresponding value of y as…

Q: Braden invested $900 in a mutual fund. Each year, Braden's investment grew by 2%. Which equation…

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Q: Jessi went to the grocery store to buy some fruit for his weekly lunches. At publix, apples cost…

A: Consider the number of apple be x and the number of oranges by y. Consider the cost of each apple is…

Q: For each week of work, Aaron gets paid a base amount of $500, plus 25% of his total sales. If y…

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Q: Amazon offers a Prime Memebership for $79 per year , which qualifies a buyer for a reduced shipping…

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Q: The income I of a computer analyst varies directly as the number of hours h worked. If the analyst…

A: The income for 8 hours is $384.The income for 1 hour is $384/8 = $48.

Q: 2. у' %3D х3 — 2ху when x = 1 & y = 2

A: This is a problem of differential equation.  Here we will substitute the some of variable and then…

Q: The equation y = 9x represents the relationship between the number of chocolate boxes sold (x) and…

A: Given query is to find the cost of 35 chocolate boxes.

Q: The manager of a restaurant found that the cost to produce 50 cups of coffee is $20.50, while the…

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Q: Which linear equation below could be used to describe this situation? Kira accepts a sales position…

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Q: A bike shop rents each of its mountain bikes for $5.50 per hour. They also charge a $12.50 insurance…

A: A bike shop rents each of its mountain bikes for $5.50 per hour. They also charge a $12.50 insurance…

Q: Mr. Lang bought a used Chevy Tahoe for $26,500. The value of the Tahoe has decreased 7% per year…

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Q: equation is equi Dy= 6x-48

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Q: The depreciation of a piece of technological equipment can be shown graphically by a straight line.…

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Q: The number of calories, c, burned varies directly with the amount of time, t, spent exercising.…

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Q: hours 1 2 4 h miles 6.5 6 5.5 5 4.5 4

A: Let v be the velocity. Now we have an equation for distance as a function of time as d(h)=vh+d0 ,…

Q: The value of y varies directly as x and the square of z, and y = 90 when x = 5 and z = 3. Find the…

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Q: A manufacturer pays its assembly line workers $11.88 per hour. in addition, workers receive a piece…

A: Given: Workers wage per hour is $11.88. Workers wage per unit is $0.71. The objective is, To find…

Q: A transportation company buys a van. After y months of use, the value y of the van (measured in…

A: Given, y= 25000-400x where, y is the months of the use= 5 years= 5*12= 60 months

Q: The population of spring city was 15,000 in 1990 and 7,250 in 2000. Write a linear equation to…

A: Given The population of spring city was 15000 in 1990 and7,250 in 2000

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.