Question

Hi, I’m really confused with this question and I’m not sure how to solve it!

Answer 1

The figure below would help in answering the question

Let's get the slopes of the line for company G and company H

Slope m is given as

`m=(rise)/(run)`

For company G, we have slope as

`m=(5)/(1)=5`

For Company H, we have

`m=(4)/(1)=4`

From the graph

Cab fare for 1 mile with company G is $7

Cab fare for 10 miles with company H is?

To get this we need to get the equation of the line H

From

`\begin{gathered} y=mx+b \\ where\text{ m is slope and b is the y-intercept, we have } \\ y=4x+2 \end{gathered}`

Now substituting x for 10 in the equation, we have

`\begin{gathered} y=4x+2 \\ y=4(10)+2 \\ y=40+2 \\ y=42 \end{gathered}`

Hence the cab fare for 10 miles with Company H is $42

The rate charge per mile by Company G is the slope we got as 5.

Hence the answer is $5 per mile

The rate charge per mile by Company H is the slope we got as 4.

Hence the answer is $4 per mile