Question

A car service charges customers a fiat fee per ride (which is higher during rush hour traffic) plus charges for each minute and each mile Suppose that, in a certain metropolitan area during rush hour, the flatfee is $5 the cost per minute is $0.20, and the cost per mile is $130. Let x be the number of minutes and y the number of miles. At the end of a ride, the driver said that the passenger owed $10.10 and remarked that the number of minutes was two times the number of miles. Find the number of minutes and the number of miles for this tripComplete the equation that represents the total cost of the ride.- 10.10(Do not include the symbol in your answer. Do not simplify Use integers or decimals for any numbers in the equation)

Answer 1

The equation that represents the total cost of the ride is:

10.10 = 5 + 0.20x + 1.30y

The number of miles (y) = 3

The number of minutes (x) = 6

Step-by-step explanation:

Let the total cost of the ride be "t".

t can be estimated by the fixed fee + cost per minute * number of minutes + cost per mile * the number of miles.

If

Fixed fee = 5

Cost per minute = 0.20

Number of minutes = x

Cost per mile = 1.30

Number of miles = y

Then:

t = 5 + 0.20x + 1.30y

If the cost of the ride is 10.10:

The equation that represents the total cost of the ride is:

10.10 = 5 + 0.20x + 1.30y

Now, to find x and y, we have to use the relation x = 2y (number of minutes was two times the number of miles)

So,

10.1 = 5 + 0.2*2y + 1.30y

10.1 - 5 = 0.4y + 1.3y

5.1 = 1.7y

5.1/1.7 = y

y = 3

The number of miles is 3

And,

x = 2y

x = 2*3

x = 6

The number of minutes is 6.