How much money will it cost you to drive 150.0 miles if your car gets 25.70 miles
per gallon and gas costs gallon?

Question

How much money will it cost you to drive 150.0 miles if your car gets 25.70 miles per gallon and gas costs $$ \$ 3.309 / $$ gallon?

UpStudy AI · Accepted Answer

**Step 1. Calculate the number of gallons needed**

To determine the number of gallons required to drive $$150.0$$ miles, we use the formula:

$$
\text{Gallons required} = \frac{\text{Total miles}}{\text{Miles per gallon}}
$$

Substitute the given values:

$$
\text{Gallons required} = \frac{150.0}{25.70} \approx 5.8435
$$

**Step 2. Calculate the total cost**

Now, multiply the number of gallons by the cost per gallon:

$$
\text{Total cost} = \text{Gallons required} \times \text{Cost per gallon}
$$

Substitute the values:

$$
\text{Total cost} \approx 5.8435 \times 3.309 \approx 19.3365
$$

Rounded to the nearest cent, the total cost is approximately:

$$
\$19.34
$$
It will cost approximately \$19.34 to drive 150 miles.

Upstudy AI Solution