Question

To rent a certain vehicle rent a ride charges $55 for unlimited miles the cost of renting a similar vehicle we got wheels is $38 fee plus $.20 per mile for what number of miles is the cost of rent a ride less than the cost at we got wheels

Answer 1

To determine for which number of miles the cost of renting a vehicle from Rent A Ride is less than the cost from We Got Wheels, we can set up an inequality.

Let \( x \) be the number of miles driven.

**Cost from Rent A Ride:**
Rent A Ride has a flat fee of $55, regardless of miles:
\[
\text{Cost}_{\text{Rent A Ride}} = 55
\]

**Cost from We Got Wheels:**
We Got Wheels charges a flat fee of $38 plus $0.20 per mile:
\[
\text{Cost}_{\text{We Got Wheels}} = 38 + 0.20x
\]

We want to find when Rent A Ride's cost is less than We Got Wheels' cost:
\[
55 < 38 + 0.20x
\]

Now, solve the inequality:

1. Subtract 38 from both sides:
\[
55 - 38 < 0.20x
\]
\[
17 < 0.20x
\]

2. Divide both sides by 0.20:
\[
\frac{17}{0.20} < x
\]
\[
85 < x
\]

This simplifies to:
\[
x > 85
\]

Thus, Rent A Ride is less expensive than We Got Wheels when the number of miles driven \( x \) is greater than 85 miles.

Answer 2

What symbol is used

Answer 3

In the inequality we derived, the symbol used is the greater-than symbol (>).

Specifically, we concluded that:

\[
x > 85
\]

This means that the cost of renting from Rent A Ride is less than the cost of renting from We Got Wheels when the number of miles driven (x) is greater than 85 miles.