Question

Steven earns extra money babysitting. He charges $33.75 for 5 hours and $54.00 for 8

hours.
Enter an equation to represent the relationship. Let x represent the number of hours
Steven babysits and y represent the amount he charges.
The equation is y =

Answer 1

y = 6.75x

Explanation:

These 2 pieces of information can be used to create 2 points on the graph, where x is the number of hours and y is the amount he charges:

(5, 33.75) and (8, 54) are the 2 points

Use rise/run (y2 - y1) / (x2 - x1) to find the slope

(54 - 33.75) / (8 - 5)

20.25/3

= 6.75

Now, plug this and another point into y = mx + b to find b, the y intercept

54 = 6.75(8) + b

54 = 54 + b

0 = b

So, the equation is y = 6.75x