The rental rate for a cement mixer has a flat rate of $40 plus $20 for each day of the rental. the graph shows points representing the total cost of the rental. which linear equation, in slope-intercept form, that models the total cost of the rental over time? a. y = 50x + 25 b. y = 25x c. y = 75x d. y = x + 50 e. y = 20x +40

f

step-by-step explanation:

f

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