Question

if ronan has fifteen dollars to spend on his cabfare, there is a 3 dollar initial fare and an additional 2.15 per mile how do i write this as an inequality to represent how far ronan can travel if he cant spend over 15 dollars on cab fare.

Answer 1

15 > 3 + 2.15 M is the required inequality to represent how far Ronan can travel if he cant spend over 15 dollars on cab fare.

Explanation:

Here, the total maximum allowance of Ronan for cab fare = $ 15

The fixed cab fare = $3

Also, the fare per mile traveled by cab = $2.15

Now, 1 miles traveled cost $2.15.

let us assume Ronan travels M miles in TOTAL.

So, the cost for M miles = M x ( Cost per mile) = M ( $2.15) = 2.15 M

Now, TOTAL FARE = FIXED CAB RATE + RATE paid for M miles

or, $15 = $ 3 + 2.15 M

Also, he can spend maximum of $15 on cab fare.

⇒ 15 > 3 + 2.15 M

Hence, 15 > 3 + 2.15 M is the required inequality to represent how far Ronan can travel if he cant spend over 15 dollars on cab fare.