Concept explainers
Properties of Linear Functions Exercises S-
Suppose that
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- Demand for Soft Drinks A convenience store manager notices that sales of soft drink are higher on hotter days, so he assembles the data in the table. (a) Make a scatter plot of the data. (b) Find and graph a linear function that models the data. (c) Use the model to predict soft drink sales if the temperature is 95Farrow_forwardRate of Change for a Linear Function If f is the linear function f=45x, what is the value of dfdx?arrow_forwardRun from Slope and Rise Suppose that f is a linear function with slope 3.4 and that f(1)6. What value of x gives f(x)=0?arrow_forward
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- Does the following table represent a linear function ? If so, find the linear equation that models the data.arrow_forwardWorking on a Commission A certain man works in sales and earns a base salary of 1000 per month plus 5 of his total sales for the month. a. Explain why his total monthly income I is a linear function of total sales S, both measured in dollars. b. How much does he earn if he sells 1600 in merchandise in a month? c. Write a formula that gives total monthly income as a linear function of sales in a month. d. What should his monthly total sales be if he wishes to earn 1350 this month?arrow_forwardHydroplaning On wet roads, under certain conditions the front tires of a car will hydroplane, or run along the surface of the water. The critical speed V at which hydroplaning occurs is a function of p, the tire inflation pressure. The following table shows hypothetical data for p, in pounds per square inch, and V, in miles per hour. Tire inflation pressure p Critical speed V for hydroplaning 20 46.3 25 51.8 30 56.7 35 61.2 a Find a formula that models V as a power function of p. b In the rain, a car with tires inflated to 35pound per square inch is travelling behind a bus with tires inflated to 60 pounds per square inch, and both are moving at 65 miles per hour. If they both hit their brakes, what might happen?arrow_forward
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