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A florist charges $10 for delivery plus an additional $2 per mile from the flower shop. The florist pays the delivery driver $0.50 per mile and $5 for handling each delivery. If x is the number of miles a delivery location is from the flower shop, what expression models the amount of money the florist earns for each delivery?
write in Y=mx+b form.

2 Answers

5 votes

Let

  • Per mile be x

Now

Charge:-

  • 2x+10

Pay:-

  • 0.5x+5

Now earning:-

  • y=2x+10-0.5x-5
  • y=1.5x+5
User Giuseppe Ricupero
by
8.0k points
6 votes

Answer:

Y = 1.5x + 5

Explanation:

To model the amount of money the florist earns for each delivery, we can break it down into the different components involved.

  • The florist charges $10 for delivery, which is a fixed fee.

This can be represented by the term "+10".

  • Additionally, the florist charges an additional $2 per mile from the flower shop.

This can be represented by the term "+2x", where x represents the number of miles.

  • The florist also pays the delivery driver $0.50 per mile and $5 for handling each delivery.

This can be represented by the term - ( 0.50x + 5 )

  • Putting all these terms together, the expression that models the amount of money the florist earns for each delivery is:

Y = 10 + 2x - (0.50x + 5)

Simplify.

Y = 10 + 2x - 0.50x - 5

Combine like terms.

Y = 1.5x + 5

  • Therefore, the expression that models the amount of money the florist earns for each delivery is Y = 1.5x + 5 in slope-intercept form (Y = mx + b form).
User BST Kaal
by
8.7k points

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