Question

Answer this

..............................................................................................................................................................

Answer 1

300 miles

Explanation:

In order to calculate the number of miles Leila would need to drive in order for the two plans to cost the same, we have to first find two separate expressions for each plan.

• First plan:

⇒ Initial fee = $57.98

⇒ Additional cost per mile = $0.12

If we consider the number of miles she needs to drive to be x, then the expression is:

cost = 57.98 + 0.12x

• Second plan:

⇒ Initial fee = $69.98

⇒ Additional cost per mile = $0.08

Therefore, the expression, in this case, would be:

cost = 69.98 + 0.08x

Since the question asks for the number of miles when the costs will be the same, we have to equate the above expressions and solve for x:

`57.98 + 0.12x = 69.98 + 0.08x`

⇒
`57.98 + 0.12x - 0.08x= 69.98` [Subtracting 0.08x from both sides]

⇒
`57.98 + 0.04x= 69.98`

⇒
`0.04x = 69.98 - 57.98` [Subtracting 57.98 from both sides]

⇒
`0.04x = 12`

⇒
`x = (12)/(0.04)` [Dividing both sides of the equation by 0.04]

⇒
`x = \bf 300`

Therefore, Leila would have to drive 300 miles in order for the two plans to cost the same.