Answer:
Step-by-step explanation:
Let y represent the amount that Marina earns for babysitting.
Let x represent the number of hours of babysitting.
If we plot the graph of y on the vertical axis and x on the horizontal axis of a graph,
the slope which is expressed as
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis
change in the value of y = y2 - y1
Change in value of x = x2 -x1
Slope = (23 - 15)/(2 - 1) = 8
We would model the function in the slope intercept form which is expressed as
y = mx + c
Where c represents the intercept.
To determine c, we would substitute y = 15, x = 1 and m = 8 into y =mx + c. It becomes
15 = 8 × 1 + c
15 = 8 + c
c = 15 - 8 = 7
The function that describes the sequence would be
y = 8x + 7
