Question

1. an automobile manufacturer has decided to add a little bit of horsepower to its cars. they have a device that alters horsepower one unit at a time. suppose drivers first notice the increase on a 200 horsepower car when it reaches 220 horsepower. how much horsepower must be added to a 150 horsepower car for drivers to notice the difference? a. 5 b. 10 c. 15 d. 20

Explanation:

Step1: Calculate the ratio

The ratio of the change in horsepower to the original horsepower for the 200 - horsepower car is \(\frac{220 - 200}{200}=\frac{20}{200} = 0.1\).

Step2: Apply the ratio to the 150 - horsepower car

Let \(x\) be the amount of horsepower to be added to the 150 - horsepower car. Using the same ratio \(\frac{x}{150}=0.1\). Solving for \(x\), we get \(x = 150\times0.1\).

Answer:

\(15\), so the answer is c.