Question

Let’s say that Scott is trying to buy 32 flashlights for his business building. Each flashlight will cost "f" dollars. He has to pay an extra $4.75 for batteries for each flashlight. In the end he can spend no more than $872 on all the flashlights and batteries, TOTAL. What is the maximum that Scott can spend on 1 flashlight?

PART 1: So if Scott needs to spend $872 or less, and get 32 flashlights, and each flashlight cost an extra $4.75 for batteries, model an inequality to model his maximum budget. Let f = price of 1 flashlight.
Make sure you pick the correct inequality symbol: < > ≤ ≥
Amount of flashlights * (price of 1 flashlight + batteries cost) _______ (maximum budget)
PART 2: Now that you have an inequality modeled from PART 1, solve for f
PART 3: What is the most Scott can spend on one flashlight? (what did you get for PART 2?)
A) $24.75
B) $26.75
C) $28.75
D) $30.75

Answer 1

Scott can spend a maximum of $22.50 on one flashlight.

Step-by-step explanation:

In this problem, Scott wants to buy 32 flashlights for his business building. Let's say the price of one flashlight is f dollars. In addition to the cost of the flashlight, Scott has to pay an extra $4.75 for batteries for each flashlight. He has a maximum budget of $872 for all the flashlights and batteries combined.

To model his maximum budget, we can create the inequality:

Amount of flashlights * (Price of 1 flashlight + Batteries cost) ≤ Maximum budget

Substituting the given values into the inequality, we get:

32 * (f + 4.75) ≤ 872

Simplifying the inequality:

32f + 152 ≤ 872

32f ≤ 720

f ≤ 22.5

Therefore, Scott can spend a maximum of $22.50 on one flashlight, which is option D) $30.75.