Question

(please help)

One popcorn stand at the amusement park uses the formula 100y−39,000=55(x−800) to find the number of cups of popcorn they expect to sell in a day, y, based on the number of tickets sold for the day, x.


Explain how to rewrite the equation in slope-intercept form. You may include equations as part of your explanation, but be sure to use correct math terminology and write in complete sentences.

Answer 1

Hence the equation in slope-intercept form y=(0.55)x-5

Explanation:

Given:

Formula for number popcorn could sell in a day

100y-39000=55(x-800)

To Find:

The equation in slope-intercept form

Solution:

Consider the given equation and adjust to the general formula for slope intercept form.

And it is ,

`y=mx+c`

here m is lope and c is intercept that why equation is Slop-intercept form

Simplify the given equation as

`100y-39000=55(x-800)`

`100y=55x-44000+39000`

`100y=55x-5000`

Dividing by 100 on both side,

`y=(55/100)x-5`

`y=(0.55)x-5`

Hence now comparing with general form as

m=0.55 and c= y-intercept =-5

Hence the equation in slope-intercept form y=(0.55)x-5