A cab charges $2.95 for the first 1/4 mi and charges $0.65 for every additional 1/4 mi or apart thereof. What is a possible distance a customer can travel with $67.20? Express the answer to 1 decimal place.
If you are talking about money, why only figure to one decimal place?
Let x = number of miles
2.95 + .65(.25x) - .25x = 67.20
Solve for x.
To find the possible distance a customer can travel with $67.20, we need to determine the number of additional 1/4 mile increments they can afford and multiply it by 0.25 to get the total distance in miles.
First, let's calculate the cost of the first 1/4 mile: $2.95.
Now, let's determine how many additional 1/4 mile increments can be afforded with the remaining money.
$67.20 - $2.95 = $64.25
To calculate the number of 1/4 mile increments, we need to divide $64.25 by $0.65:
$64.25 ÷ $0.65 ≈ 99
So, the customer can afford 99 additional 1/4 mile increments.
Now, let's calculate the total distance traveled by multiplying the number of increments by 0.25:
99 * 0.25 = 24.75 miles.
Therefore, a possible distance a customer can travel with $67.20 is approximately 24.8 miles.