Question 1176812
the straight line equation to use is y = mx + b.
y is the number of hotdogs sold.
x is the price of each hotdog.
m is the slope
b is the y-intercept


when x = 1, y = 119
when x = 1.5, y = 95


the slope is equal to (y2-y1) / (x2-x1), where (x2,y2) = (1,119) and (x1,y1) = 1.5,95)


the equation becomes y = (119-95)/(1-1.5) = -24/.5 = -48.


the equation becomes y = -48x + b


use any of the point pairs used to create the slope to replace x and y in the equation so you can solve for b.


i chose (1,119),


the equation becomes 119 = -48 * 1 + b


solve for b to get b = 119 + 48 = 167.


the equation becomes y = -48x + 167.


when x = 1, y = -48 * 1 + 167 = 119.
when x = 1.5, y = -48 * 1.5 + 167 = 95.


the equation is confirmed to be good.


your solution is that the equation to model the number of hotdogs sold each day when the price is x dollars each is y = -48x + 167.


on a graph, the equation looks like this.


<img src = "http://theo.x10hosting.com/2021/031201.jpg" >