Question

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 packaging is the same for any size. How much would 50 cloud markers in a box cost? Write an equation which will tell the price P for the number N markers in the box.

Answer 1

Answer:

P = 0.7N + 2.20

50 markers cost $37.20

Step-by-step explanation:

We know a box of 15 costs $12.70 and a box of 42 costs $31.60. Since the price of packaging is the same no matter the size, the price will go up at a constant rate. To find this rate, subtract the price 31.60-12.70 = 18.90 Divide it by the difference in number of markers in a box 42-15 = 27. So 18.9/27 = 0.7. This means for every marker added the price increases by $0.70. This is a linear relationship. Use the point slope form $y-y_1=m(x-x_1)$ to write the equation.

$y-y1=m(x-x_1)\\y-12.70 = 0.7(x-15)\\y-12.70=0.7x-10.5\\y=0.7x+2.20$

Here y is price P and x is N for number of markers.

P = 0.7N+2.20

To find the price for 50 markers, substitute N=50.

P = 0.7(50)+2.20

P= 37.20

Answer 2

The equation which will tell the price P for the number N markers in the box is as follows:

• P = 0.7N + 2.2

The price for 50 cloud marker is 37.2 dollars

The price of a box of 15 cloud markers is $12.70.

The price of a box of 42 cloud markers is $31.60.

Using linear equation,

Slope intercept formula

• y = mx + b

where

m = slope

b = y-intercept

Therefore,

(15, 12.70)(42, 31.60)

m = 31.60 - 12.70 / 42 - 15

m = 18.9 / 27

m = 0.7

Therefore, let's find b

12.70 = 0.7(15) + b

12.70 - 10.5 = b

b = 2.2

Therefore, the price of packaging is $2.2.  

The equation which will tell the price P for the number N markers in the box is as follows:

• P = 0.7N + 2.2

Let's find the price of 50 cloud markers in the box

P = 0.7(50) + 2.2

P = 35 + 2.2

p = $ 37.2

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