Shelly sells ice cream bars at the beach. In addition to a fixed salary, she earns a commission for each ice cream bar she sells. The table shows Shelly's total earnings, y, from selling x bars of ice cream:


Which equation best shows the relationship between x and y?




Ice Cream Sales and Earnings

Number of Bars Sold(x) Total Earnings(dollars) (y)





0 60



1 65


2 70


3 75




y=x+70

y=5x+60

y+5x+70

y+x+60

Verified Answer :

Leader

Simply, the question wants you to write an equation for the points they gave you.

The points are:
(0,60)
(1,65)
(2,70)
(3,75)

The first thing we need to do is to find the slope.

\(\sf{Slope =\frac{y_2-y_1}{x_2-x_1} =\frac{65-60}{1-0} =\frac{5}{1} =\boxed{\bf{5}}\)

The slope is 5.

If we write an equation in the form of y = mx + b, where m is the slope, and b is the y-intercept, we would have so far:

y = 5x + b

Now, we need to find the y-intercept.
We are given the point (0,60)
That point lies on the y-axis, and therefore, 60 is the y-intercept.

Our final equation isĀ y = 5x + 60.