Question

It costs a company $5,000 a year to run a machine that produces reusable water bottles and $1.75 to make each water bottle. In the year 2021, the company spent $7,604 to produce water bottles. How many water bottles did they produce that year?

Choose which equation and solution represents the company's total cost to produce w water bottles for 2021.

A
7,604=1.75w+5,000
; w=1,488

B
7,604=5,000w+1.75
; w=2,602

C
7,604=1.75w−5,000
; w=7,202

D
7,604=5,000w−1.75
; w=12,605

Answer 1

A) 7,604 = 1.75w + 5,000

Explanation:

The correct equation that represents the company's total cost to produce w water bottles for 2021 is:

A) 7,604 = 1.75w + 5,000

where w represents the number of water bottles produced in 2021.

To solve for w, we can isolate the variable on one side of the equation:

7,604 - 5,000 = 1.75w

2,604 = 1.75w

w = 2,604 / 1.75

w ≈ 1,488

Therefore, the company produced approximately 1,488 water bottles in 2021.

So, the correct equation is A) 7,604 = 1.75w + 5,000 and the solution is w = 1,488.