Question

The cost, C dollars, of hiring a taxi is given by the formula C=2.00+320n, where n is the number of tenths of a mile driven. What is the cost if the taxi is hired to drive 4.0 miles?

Answer 1

The cost of hiring the taxi for a 4.0-mile trip, using the formula C = 2.00 + 320n, is calculated to be $130.00.

Step-by-step explanation:

The cost of hiring a taxi is calculated using the provided formula C = 2.00 + 320n, where n is the number of tenths of a mile driven. To determine the cost for a 4.0-mile trip, first, we need to calculate the number of tenths of a mile in 4.0 miles, which is n = 4.0 × 10 = 40 tenths of a mile. Substituting this value into the formula:

C = 2.00 + 320 × 40

The multiplication part of the equation gives us 320 × 40 = 12800 tenths of a dollar, or $128.00. Therefore, adding the initial charge:

C = 2.00 + 128.00 = $130.00

So, the cost of hiring the taxi to drive 4.0 miles is $130.00.

Answer 2

$14.80

Step-by-step explanation:

I'm assuming you meant to put 3.20 since $320 a mile would be ridiculous.

C(n)=2.00+3.20n

If n = 4 miles we have:

C(4)=2+3.20(4)

C(4)=2+12.80

C(4)=14.80

So the cost of the taxi is $14.80.