Question

Anthony took a taxi from his house to the airport. The taxi company charged a pick-up fee of $2.60 plus $3 per mile. The total fare was $35.60, not including the tip. Write and solve an equation which can be used to determine xx, the number of miles in the taxi ride.

Answer 1

Answer:

Equation: 35.60 = 2.60 + 3x

It was 11 miles

Step-by-step explanation:

35.60 = 2.60 + 3x

3x = 33

x = 11

Answer 2

The linear function for the fare is:

$F(x) = 2.6 + 3x$

Solving the equation, it is found that the taxi ride was of 11 miles.

A linear function for a cost considering a distance of x miles has the following format:

$F(x) = F(0) + ax$

In which

• F(0) is the fixed cost.
• a is the cost per mile.

In this problem:

• Pick-up fee of $2.60, thus $F(0) = 2.6$
• Cost per mile of $3, thus $a = 3$.

The function is:

$F(x) = 2.6 + 3x$

Fare of $35.60, thus $F(x) = 35.60$ and we solve for x to find the number of miles.

$35.6 = 2.6 + 3x$

$3x = 33$

$x = \frac{33}{3}$

$x = 11$

There were 11 miles in the taxi ride.

A similar problem is given at https://brainly.com/question/16302622