Question

I need help with this question I also really don’t understand the topic

Answer 1

STEP - BY - STEP EXPLANATION

What to find?

The mileage in which company A charge no more than company B.

Given:

Note :

50 cents =50/100 = $0.5

70 cents = 70/100 = $0.7

First, we will set - up the equation for company A charges.

Let m be the number of mileage.

Company A

40 + 0.5m

Next, set up an equation for company B charges.

Company B

30 + 0.7m

Now, company A charge no more than company B when;

company B charges is greater or equal to company A charges.

That is;

company B charges ≥ company A charges.

Substitute the set - up equations.

30 + 0.7m ≥ 40 + 0.5m

Collect like term

`0.7m-0.5m\ge40-30`
`0.2m\ge10`

Divide both-side of the equation by 0.2

`(0.2m)/(0.2)\ge(10)/(0.2)`
`m\ge50`

ANSWER

m ≥ 50