The price of a box of 15 cloud markers is $12.70. The price of a box of 42 cloud markers is $31.60. All prices are without tax, and the price of the boxes is the same. How much would 50 cloud markers in a box cost?

szklanovqq

szklanovqq

Answered question

2022-11-03

The price of a box of 15 cloud markers is $12.70. The price of a box of 42 cloud markers is $31.60. All prices are without tax, and the price of the boxes is the same. How much would 50 cloud markers in a box cost?

Answer & Explanation

mignonechatte00f

mignonechatte00f

Beginner2022-11-04Added 13 answers

Check whether we are working with a direct proportion, in which case the comparison between the price and the number of markers would be the same.
$ 12.70 ÷ 15 = $ 0.85 and $ 31.60 ÷ 42 = $ 0.75
The prices differ, so they are not directly proportional.
The reason is that both prices include the price of the box, which is the same. This can be thought of as the constant.
If you were to draw a graph of price (on the y-axis) and number of markers (on the x-axis) you would get a straight line where the y -intercept would be the price of the box and the slope would be the price of a marker. (rate of change of price)
Let's find the slope.
m = y 2 - y 1 x 2 - x 1
m = 31.60 - 12.70 42 - 15 = $ 18.90 27 markers = $ 0.70 / marker
Therefore each marker costs $0.70 or 70c
the price of 50 markers is:
50 × 0.7 = $ 35.00 this is just the markers,
How much does the box cost?
Consider $12.70 for 15 markers at $0.70 each
$ 12.70 - 15 × $ 0.70 = $ 12.70 - $ 10.50 = $ 2.20
The box itself costs 2.20
The total cost of 50 markers in a box would be:
$2.20+$35=37.20#

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