Question

Two cab rides cost the same amount for the same number of miles, m. Which situation can be represented by the equation 2.50 + 0.50m = 1.00 + 0.75m?
a. One cab charges an initial fee of $2.50 and then $0.50 for every mile. The other cab company charges an initial fee of $1.00 and then $0.75 for every mile.

b. One cab company charges $3 per mile. The other cab company charges $1.75 per mile

c. One cab charges an initial fee of $0.50 and then $2.50 for every mile. The other cab company charges an initial fee of $0.75 and then $1.00 for every mile

Answer 1

The answer is a, its not b because theren isnt a 3 in the equation and it isnt c because the m(for mile) is after .50 not 2.50

Answer 2

We have been given that two cab rides cost the same amount for the same number of miles, m, this situation can be represented by the equation,

$2.50+0.50m=1.00+0.75m$

We have to find out which of the given options is true. To answer this question first of all we will interpret our given equation.

On the left side of equation $2.50 represents fixed charges or initial fee and 0.50m represents variable cost.

While on the right side of equation $1.00 represents fixed charges or initial fee and 0.75m represents variable cost.

This equation tells us that after m number of miles both cab rides will have same cost.

Therefore, looking at all the options we can see that option (a) matches to our interpretation