The following table shows the cost of downloading songs from iTunes. What is the constant of proportionality between the total cost and the number of songs?

Q: The overall differences between treatments is represented by the _________.

A: ANOVA is Analysis of Variance.

Q: What is the formula that represents the average rate of change in a linear function?

A: The average rate of change formula for a function f(x) between [a, b] is: f(b)-f(a)b-a

Q: A boarding Kennel mixes Dry dog food and wet dog food and to feed the dogs. The following table…

A: A) yes, there is direct relation in amount of dry dog food and the amount of wet dog food .as amount…

Q: What is the importance of direct and inverse variation in predicting real life scenarios?

A: We discuss the importance of direct and inverse variation in predicting real life scenarios.

Q: What is the greatest constant of variation

A: I am attaching image so that you understand each and every step.

Q: Test graphically if the data suppport the proportionality: y proportional to x3

A: Given data is x 1 1.5 2 2.5 3 y 0.4 1.7 3.9 7.7 13.6

Q: Choose the coefficient of determination that matches the scatterplot. Assume that the scales on the…

A:

Q: In a construction company, there are three groups of engineers: civil, electrical and mechanical…

A: We know that the coefficient of variation is given by;  CV = SD*100/Mean

Q: The average cost C of producing a machine is partly constant and partly varies inversely as the…

A: Let the average cost C of producing a machine be denoted by: C=a+bn where C=Cost, a= Fixed cost, b=…

Q: The margin of safety sales volume times the contribution margin ratio equals operating income. True…

A:

Q: Does the following graph represent a proportional relationship? y 4 1 3 4 3. 2.

A: Consider the above graph. To determine whether the graph represents a proportionality relationship.…

Q: Use this model to find the percent of prescriptions filled with generic drugs in each year from 2013…

A:

Q: Select the tables that show a proportional relationship between x and y y 4. 15 14 8. 2. 6. 1. 3. 5.…

A:

Q: If a population of fruit flies triples every 6 days. What is k, the proportionality constant?

A: The population growth is defined by the exponential equation,  , where k is the proportionality…

Q: An item has a new selling price of P200.00 and markdown of P30.00. Find its original selling price,…

A: Explained below

Q: What is the direct variation?

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find a direct variation model that relates y and x. x = 2, y = 24

A: If x and y are related by an equation of the form y=kxn  the relationship is direct variation and y…

Q: The number of cell phones that employees at a factory can assemble is directly proportional to the…

A:

Q: Define relative efficiency?

A:

Q: From the table below, which is the dependent variable? Number of kilos of Sugar Price in Peso 2 100…

A: i.e. price is depend on the number of kilos.

Q: How much of the variation in prices are explained by these characteristics?

A: The variability in the response variable that is explained by the explanatory variables is…

Q: Select the tables that show a proportional relationship between x and y. 14

A:

Q: The percentage of damage is thought to be a function of speed. In 15 different vehicles,…

A: Note: In case of multiple subparts, answer to first three subparts will be provided as per the…

Q: Which graph shows a proportional relationship between x and A) B) C) D)

A: select the graph which show the relationship of x and y…

Q: The gross profit for Exxon Mobil Corporation for various years is given here. Gross Profit Year (in…

A: From the previous part. The model is given by, P=1447t+54

Q: The table shows the proportional relationship between the cost in dollars (c) of vegetable oil and…

A:

Q: Find the average rate of change of g(x) = 5x³ + 4 from x = - 4 to x = 4.

A:

Q: What is the constant of proportionality?

A: Let there are two variables x and y. If the values of y is equals to ax where a is a constant. Then…

Q: How many pPhones should the Pear company produce and sell to maximimze profit? (Remember that…

A:

Q: How much variation in the level of sales can be accounted for by the level of costs?

A: Coefficient of determination is denoted by r2 and it explains how much % of variation in the…

Q: (d) Can you think of other variables that might explain the variation in monthly rent?

A: Given: Size (square feet) Rent ($) 850 1950 1450 2600 1085 2200 1232…

Q: The table and equation below show the proportional relationship between time, in seconds, x, and…

A:

Q: The table to the right contains price-demand and total cost data for the production of projectors,…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: 1. Does this graph represent a proportional relationship?

A: Given graph is

Q: This table shows a proportional relationship between x and y. 6 y 1.25 4 2.5 6. 3.75 10 6.25 What is…

A: Constant of proportionality  y=Kx  K=y/x   K = 1.25/2      = 0.625

Q: Suppose that the amount of time it takes to build a highway varies directly with the length of the…

A: The time taken to built the highway is directly proportional to length     t   ∝  L And inversely…

Q: A local construction company is trying to reduce costs. It found that the price of steel bars varies…

A: The inter-quartile range is given by:   IQR =Q3 - Q1Q3 : Third Quartile Q1: First Quartile   Also…

Q: 2. The number of cars built varies directly as the number of hours the production line operates.…

A: we have been given a figure showing the graph between the numbers of cars built and numbers of hours…

Q: Select the tables that show a proportional relationship between x and y.

A: Given,            Two tables shown below:        x        y        2        5        4…

Q: Use the Sales information above to answer this question. How many thingamabobs should Yaster Inc.…

A:

Q: This table shows a directly proportional relationship between the distance Craig runs and the number…

A: Given data is : Number of practices (x) Distance (miles) 44 1212 55 1515 66 1818   To…

Q: What is the constant of proportionality?

A: Here, there is a proportional relationship between the two variables ,i.e., the variables increases…

Q: The table below shows the proportional relationship between the weight of cereal, in ounces, and the…

A: The constant of proportionality ,K , is the constat value of the ratio of two propotional quantities…

Q: In a construction company, there are three groups of engineers: civil, electrical and mechanical…

A: Given the data of three groups of engineers: civil, electrical and mechanical engineers. The table…

Q: What does it mean if two quantities vary directly?

A: What does it mean if two quantities vary directly?

Q: Which description best explains the relationship between the cost of produce and the number of units…

A:

Q: ) Find a formula for the weekly cost C as a function of the number of employees n.

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: Lahaina: Hana: Paia: Maximum Profit: $

A:

Q: ) Suppose false news spreads in a city of 150,000 in a day. Within a week, 15000 residents hear ne…

A: Solution The total population of the city is 150, 000. Let the number of people who have heard the…

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.