You set up a hot chocolate stand at a football game. The cost of your supplies is $75. You charge $0.50 for each cup of hot chocolate. Write a function that represents the profit P for selling c cups of hot chocolate.

P = 0.5c - 75

Step-by-step explanation:

Profit is = selling price. - cost price

Cost price is the amount the supplies were bought = $75

The cost of c cups at $0.5 per cup will be

0.5 * c = $0.5c

The profit here is thus;

P = 0.5c - 75

there is no picture

step-by-step explanation:

put up a picture so people can you

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4