Question

PLEASE HELP NOW!!!

A taxi service offers a ride with an $5 surcharge and charges $0.50 per mile. How many miles can a customer travel and spend at most $30? What linear inequality with variable x represents this situation? What is the solution to that inequality? Enter the solution as an inequality using x. Enter your answers in the boxes. Solution:

Answer 1

Let

x--------> the number of miles

y--------> the total cost in dollars

we know that

`y=5+0.50x`

`y\leq 30`

so

`5+0.50x\leq 30`

therefore

the answer Part a) is

The linear inequality that represent the situation is

`5+0.50x\leq 30`

Part b)

Find the solution of the inequality

`5+0.50x\leq 30\\0.50x\leq 30-5\\0.50x \leq 25\\x \leq 50\ miles`

The greatest number of miles that a customer can travel is
`50\ miles`

therefore

the answer part b) is

The solution of the inequality is

`x \leq 50\ miles`