With all of these 5 points per question
1. a rental car company charges $100 flat fee and $.25 per mile. write an equation to find the cost "c" for "m" miles.
2. using your equation in #1, (last question) fins the cost for 200 miles.
3. using #1, (first question) if the cost was $300, how many miles did you drive?
15 points in total : d

1. C = $100 = .25(m)

2. C = $150

3. 800 = m

Step-by-step explanation:

1. C = $100 (flat fee rate) + .25m

2. c = $100 + .25(200 miles)

                           ↓

            c = $100 + 50

                           ↓

                       c = 150

3. 300 = 100 + .25(m)

  -100      -100                    (subtract on both sides)

200 = .25(m)

  (divide by .25 to get m by itself)

    .25

Therefore being 800 = m

(2,9)

i think thats the answer i checked it on google

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