Question

7a. the toll to cross a bridge costs ( d ) dollars. if 95 vehicles crossed the bridge in one hour, write an expression to represent the amount of money collected.
7b. if the bridge toll is $2, how much money was collected?
8a. mitch and zach went on a hike. zach hiked ( f ) feet fewer than mitch hiked. if mitch hiked 3,000 feet, write an expression for how far zach hiked.
8b. if zach hiked 280 feet fewer than mitch, how far did zach hike?
9a. the running back on a football team has run for 372 yards so far this season. if he runs ( y ) yards in the next game, write an expression for his new season total.
9b. if he runs 85 yards in his next game, find his new season total.
10a. a snowstorm brought 32 inches of snow over the course of ( h ) hours. write an expression to represent the average hourly snowfall.
10b. if it snowed 32 inches in 10 hours, find the average hourly snowfall.

Explanation:

7a

Step1: Identify the cost per vehicle and number of vehicles

The toll per vehicle is \( d \) dollars, and the number of vehicles is 95.

Step2: Calculate total money collected

To find the total money collected, we multiply the cost per vehicle by the number of vehicles. So the expression is \( 95 \times d = 95d \).

Step1: Identify the value of \( d \)

Given that \( d = 3 \).

Step2: Substitute \( d \) into the expression from 7a

We use the expression \( 95d \) from 7a. Substituting \( d = 3 \), we get \( 95\times3 = 285 \).

Step1: Identify the distance Mitch hiked and the relationship

Mitch hiked 3000 feet, and Zach hiked \( f \) feet fewer than Mitch.

Step2: Write the expression for Zach's distance

To find Zach's distance, we subtract the number of feet fewer (\( f \)) from Mitch's distance. So the expression is \( 3000 - f \).

Answer:

\( 95d \)

7b