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
[tex]0.7m-0.5m\ge40-30[/tex][tex]0.2m\ge10[/tex]
Divide both-side of the equation by 0.2
[tex]\frac{0.2m}{0.2}\ge\frac{10}{0.2}[/tex][tex]m\ge50[/tex]
ANSWER
m ≥ 50
