A bookstore owner recorded the number of books sold and the profit made selling the books.
Books Sold | Profit |
---|---|
100 | $ 50.00 |
250 | $ 275.00 |
300 | $ 350.00 |
350 | $ 425.00 |
What is the average rate of change, in dollars per book, between 100 and 350 books sold?
Morgan read that a snail moves about 72 feet per day. He performs the calculation to convert this rate to different units. What are the units for the converted rate?
Joe is ordering water for his swimming pool. He determines the volume of his pool to be about 3240 cubic feet. There are approximately 7.5 gallons of water in 1 cubic foot. A truck load holds 6000 gallons of water.
Which expression would allow Joe to correctly calculate the number of truck loads of water he needs to fill his pool?
Patricia is trying to compare the average rainfall of New York to that of Arizona. A comparison between these two states for the months of July through September would be best measured in
Joey enlarged a 3 -inch by 5 -inch photograph on a copy machine. He enlarged it four times. The table below shows the area of the photograph after each enlargement.
Enlargement | 0 | 1 | 2 | 3 | 4 |
---|---|---|---|---|---|
Area (square inches) | 15 | 18.8 | 23.4 | 29.3 | 36.6 |
What is the average rate of change of the area from the original photograph to the fourth enlargement, to the nearest tenth?
The math department needs to buy new textbooks and laptops for the computer science classroom. The textbooks cost USD116.00 each, and the laptops cost USD439.00 each. If the math department has USD6500 to spend and purchases 30 textbooks, how many laptops can they buy?
Olivia entered a baking contest. As part of the contest, she needs to demonstrate how to measure a gallon of milk if she only has a teaspoon measure. She converts the measurement using the ratios below:
Which ratio is incorrectly written in Olivia's conversion?
Sarah travels on her bicycle at a speed of 22.7 miles per hour. What is Sarah's approximate speed, in kilometers per minute?
Dylan has a bank that sorts coins as they are dropped into it. A panel on the front displays the total number of coins inside as well as the total value of these coins. The panel shows 90 coins with a value of USD17.55 inside of the bank.
If Dylan only collects dimes and quarters, write a system of equations in two variables or an equation in one variable that could be used to model this situation.
Using your equation or system of equations, algebraically determine the number of quarters Dylan has in his bank.
Dylan's mom told him that she would replace each one of his dimes with a quarter. If he uses all of his coins, determine if Dylan would then have enough money to buy a game priced at USD20.98 if he must also pay an USD8 sales tax. Justify your answer.
Write a system of equations in two variables or an equation in one variable to model the situation.
Algebraically determine the number of quarters Dylan has in his bank.
Determine if Dylan would have enough money to buy a game priced at \ 20.988 %$ sales tax if his dimes are replaced with quarters. Justify your answer.
The amount of energy, , in joules, needed to raise the temperature of grams of a substance is given by the formula , where is the specific heat capacity of the substance. If its initial temperature is , an equation to find its final temperature, , is .