Donna's Deli delivers lunches for $7 per person plus a $35 delivery fee. Larry's Lunches delivers lunches for $11 per person.

AWrite an expression to represent the cost of x lunches from Donna's Deli. Write an expression to represent the cost of ordering x lunches from Larry's Lunches.

BWrite an inequality to determine the number of lunches for which the cost of Larry's Lunches is less than the cost of Donna's Deli.

CSolve the inequality and explain what the answer means. Which restaurant charges less for an order of 10 lunches?

PLZ HELP!

Question

24-11-2014
Mathematics

Answered

Donna's Deli delivers lunches for $7 per person plus a $35 delivery fee. Larry's Lunches delivers lunches for $11 per person.

AWrite an expression to represent the cost of x lunches from Donna's Deli. Write an expression to represent the cost of ordering x lunches from Larry's Lunches.

BWrite an inequality to determine the number of lunches for which the cost of Larry's Lunches is less than the cost of Donna's Deli.

CSolve the inequality and explain what the answer means. Which restaurant charges less for an order of 10 lunches?

PLZ HELP!

Verified Answer :

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Wowza Wowza · Answer 1 · 2014-11-26T19:13:13-05:00

ACost=7(Number of People)+35 or y=7x+35
b. 11x<7x+35
c. Subtract 7x from both sides: 4x<35
d. Divide both sides by 4: x< 8.75 people. This means that if the number of lunches ordered is 8 or less, Larry's Lunches will be cheaper. However, if the number of lunches ordered is 9 or more, Donna's Deli will be cheaper. Thus, for an order of 10 lunches, Donna's Deli would charge less.