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A courier service charges a flat rate of $12.50 per trip plus $0.60 per mile. They charged Films & More $23.30 to deliver a package. ( a. Write the equation for this situation) (b. How many miles did the courier service have to travel? )

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Answer:

y = 0.6x + 12.5

The courier service had to travel 18 miles

Explanation:

Create an equation where y is the cost to deliver a package, and x is the number of miles traveled.

Since the service charges $0.60 per mile, the cost can be represented by $0.60x.

There is a flat rate of $12.50, so this will be added to 0.60x.

Then, set this equal to y. Using this, create an equation:

y = 0.6x + 12.5

Find how many miles the courier service had to travel by plugging in 23.30 as y, and solving for x:

y = 0.6x + 12.5

23.3 = 0.6x + 12.5

10.8 = 0.6x

18 = x

So, the courier service had to travel 18 miles.

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