Question

The price of the box of 10 markers is $7. The price of the box of 24 markers is $14. All prices without tax, and the price of the boxes is the same.
Write an equation which tell the price Y for the number of markers X.

Answer 1

Answer:

Step-by-step explanation:

let x represent the number of markers.

Let y represent the cost for x boxes of markers.

If we plot y on the vertical axis and x on the horizontal axis, a straight line would be formed. The slope of the straight line would be

Slope, m = (14 - 7)/(24 - 10)

m = 7/14 = 0.5

The equation of the straight line can be represented in the slope-intercept form, y = mx + c

Where

c = intercept

m = slope

To determine the intercept, we would substitute x = 24, y = 14 and m = 0.5 into y = mx + c. It becomes

14 = 0.5 × 24 + c = 12 + c

c = 14 - 12

c = 2

The equation would be

y = 0.5x + 2