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

Answer:

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

Step-by-step 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