Question

Answer ASAP

A taxi service charges a flat fee of $1.25 and $0.75 per mile. If Henri has $14.00, which of the following shows the number of miles he can afford to ride in the taxi?
m less-than-or-equal-to 17
m greater-than-or-equal-to 17
m less-than-or-equal-to 20.3
m greater-than-or-equal-to 20.3Under what operations are the set of integers closed? Explain your answer.

Answer 1

m less-than-or-equal-to 17

Explanation:

First, arrange an equation for this calculation:

t = total cost

m = miles

1.25+ 0.75m <= t

Put 14 into t because $14 is the maximum funds he has:

1.25 + 0.75m = 14

Solve the equation by moving over the 1.25 flat fee, don't forget to reverse the operation (addition to subtraction):

0.75m = 14 - 1.25

0.75m = 12.75

Now, solve the equation by dividing both sides by 0.75 to find the m:

m =
`(12.75)/(0.75)`

m = 17

So Henri has enough to travel 17 miles, meaning that the phrase "m less-than-or-equal-to 17 " is correct, as he could theoretically travel 17 miles or anything lower.

Hope this helps!