Question

the number of vehicles on a section of a highway and the average speed of the vehicles was recorded over several months. a scatter plot of the data was created and has the trend line equation y = -.025x + 70, where y is the average speed of the vehicles, and x is the number of vehicles on the highway. use the equation of the trend line to predict how many vehicles were on the highway if the vehicles were traveling at an average speed of 45 miles per hour. a. 1,000 b. 69 c. 71 d 100

Explanation:

Step1: Substitute \( y = 45 \) into the equation

Given the equation \( y=-0.025x + 70 \), substitute \( y = 45 \). So we have \( 45=-0.025x + 70 \).

Step2: Solve for \( x \)

First, subtract 70 from both sides: \( 45 - 70=-0.025x \), which simplifies to \( - 25=-0.025x \). Then divide both sides by \(-0.025\): \( x=\frac{-25}{-0.025}=1000 \).

Answer:

A. 1,000