Question

If drama babysits for 2 hours she earn $14 if she baby sit 4 hours she earns $28 write the equation that describes the relationship between the amount of money that drama earns b and the number of hours that she babysits a

Answer 1

Answer: b = 7a

Explanation:

Let b represent the amount of money that she earns in babysitting.

Let a represent the number of hours that she babysits.

Assuming b is plotted on the y axis and a is plotted on the horizontal axis of a graph, the equation of the line can be modelled in the slope intercept form. It is expressed as

y = mx + c

c = intercept

m = slope = (y2 - y1)/(x2 - x1)

m = (28 - 14)/(4 - 2) = 14/2 = 7

To determine the intercept, c, we would substitute m = 7, y = 28 and

x = 4 into equation y = mx + c. It becomes

28 = 7 × 4 + c

c = 28 - 28 = 0

The equation that describes the relationship would be

b = 7a