Donna's Deli delivers lunches for $7 per person plus a $35 delivery fee. Larry's Lunches delivers lunches for $11 per person.
a. Write 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.
b. Write 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.
c. Solve the inequality and explain what the answer means. Which restaurant charges less for an order of 10 lunches?
Answer (3)
a. Cost=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.
a. The expression to represent the cost of x lunches from Donna's Deli is 7x + 35. The expression to represent the cost of ordering x lunches from Larry's Lunches is 11x.
b. The inequality to determine the number of lunches for which the cost of Larry's Lunches is less than the cost of Donna's Deli is 11x < 7x + 35.
c. To solve the inequality, subtract 7x from both sides to get 4x < 35. Then, divide both sides by 4 to get x < 8.75. This means that Larry's Lunches is less expensive for orders of less than 9 lunches.
For an order of 10 lunches, we can substitute x = 10 into the expressions to find the costs. The cost from Donna's Deli would be 7(10) + 35 = 70 + 35 = 105 dollars. The cost from Larry's Lunches would be 11(10) = 110 dollars. Therefore, Donna's Deli charges less for an order of 10 lunches.
Donna's Deli's cost for x lunches is represented by C D = 7 x + 35 , while Larry's Lunches' cost is C L = 11 x . The inequality shows that Larry's Lunches is cheaper when ordering up to 8 lunches. For 10 lunches, Donna's Deli is less expensive, charging $105 compared to Larry's Lunches at $110.
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