Question

Lisa is planning a party for her parents' anniversary. The caterer charges a delivery fee of $14 plus an additional $5.25 per person. If she can spend no more than $350, how many people can be invited (select all that apply)? A. 70 B. 64 C. 47 D. 69

Answer 1

Data:

x: number of persons

Delivery fee: $14

Additional: $5.25x

Spend no more than $350 (the final cost needs to be less than or equal to 350)

Final cost: y

You have the next:

`\begin{gathered} y=14+5.25x \\ \\ y\leq350 \\ \\ 14+5.25x\leq350 \end{gathered}`

Use the last inequality to find the number of persons x:

To solve for x:

1.Substract 14 in both sides of the inequality:

`\begin{gathered} -14+14+5.25x\leq350-14 \\ 5.25x\leq336 \end{gathered}`

2.Divide into 5.25 both sides of the inequality:

`\begin{gathered} (5.25x)/(5.25)\leq(336)/(5.25) \\ \\ x\leq64 \end{gathered}`Then, the number of persons need to be less than or equal to 64. (Can be invited 64 or 47)