John has $5 in his bank account when he gets a job. He begins making $109 a day. A student found that the equation that represents this situation is y = 5x + 109.

the student answer is incorrect

Correct y = 109x + 5

Step-by-step explanation:

He STARTS with $5, which means it says aside. Since he REPEATEDLY recieves $109 EVERY day, it is as 109x because you don't know how much days there are.  So the correct equation is y = 109x + 5.

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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