Question

I don’t understand at al plz help!!

Answer 1

m = the number of miles

30 + 0.18m ≤ 75

[They charge $30 plus $0.18 per mile(m), she can spend no more than $75. So $75 is the maximum/most she can spend, she can't spend over $75.]

Your answer is C

Now you need to find the solution of the inequality in order to graph it.

30 + 0.18m ≤ 75   Isolate "m". Subtract 30 on both sides

0.18m ≤ 45   Divide 0.18 on both sides

m ≤ 250        [this means that she can drive 250 miles on $75]

Next you need to graph it on a number line.

When the sign is ≤ or ≥, the dot is filled in

When the sign is < or >, the dot is an open circle/not filled in

m ≤ 250   [m is less than or equal to 250, so m can be 250 or any number less than 250]

The graph shows that she can only drive 250 miles or less on $75