In a large city, taxicabs charge $4.00 for the first one-fifth mile and 0.38 for each additional one- fifth mile. Frank has only $8.50. What is the maximum distance he can travel?
go 1/5 mile and have 4.50 left to spend
1/5 = .2
(1/5) mile = 38 cents
1 mile = 190 cents so $1.90/mile after first .2 miles
4.50 = 1.90 * x
x = 2.67 miles after .20 miles
so
2.87 miles
To find the maximum distance Frank can travel, we need to determine how much money he will spend on the taxi ride. Then we can use this information to calculate the maximum distance.
We know that the taxicabs charge $4.00 for the first one-fifth mile and $0.38 for each additional one-fifth mile. Let's break down the charges:
- $4.00 is the initial cost for the first one-fifth mile.
- Each additional one-fifth mile costs $0.38.
Now, we need to calculate how many additional one-fifth miles Frank can afford after paying the initial $4.00. Let's subtract $4.00 from the total amount Frank has, which is $8.50.
$8.50 - $4.00 = $4.50
So, Frank has $4.50 left to spend on the additional one-fifth miles. To determine the maximum number of additional one-fifth miles, we divide $4.50 by $0.38.
$4.50 ÷ $0.38 ≈ 11.84
Since we cannot have a fraction of a one-fifth mile, Frank can travel a maximum of 11 additional one-fifth miles. Adding the first one-fifth mile, the total distance Frank can travel is 11 + 1 = 12 one-fifth miles.
To convert this into miles, we divide the number of one-fifth miles by 5:
12 ÷ 5 = 2.4
Therefore, the maximum distance Frank can travel is 2.4 miles.