Question

question 1
the cost of renting a car is $25/week plus $0.25/mi travelled during that week. an equation to represent the cost would be y = 25 + 0.25x, where x is the number of miles.
what is your cost if you travel 55 miles? $
if you were charged $37.50, how many miles did you travel? miles
question help: message instructor
question 2

Explanation:

Step1: Calculate cost for 55 miles

Substitute \( x = 55 \) into \( y = 25 + 0.25x \).
\( y = 25 + 0.25\times55 \)
\( y = 25 + 13.75 \)
\( y = 38.75 \)

Step2: Find miles for $37.50

Set \( y = 37.50 \) in \( y = 25 + 0.25x \) and solve for \( x \).
\( 37.50 = 25 + 0.25x \)
Subtract 25 from both sides: \( 37.50 - 25 = 0.25x \)
\( 12.50 = 0.25x \)
Divide by 0.25: \( x = \frac{12.50}{0.25} = 50 \)

Answer:

For traveling 55 miles, the cost is $\boldsymbol{38.75}$.
For a charge of $37.50, the miles traveled are $\boldsymbol{50}$.