The graph represents the relationship between the cost of renting a trailer y for x hours,, please help

The relationship is not proportion because the value of is not equivalent for each point in the relationship ⇒ C

Step-by-step explanation:

Let us use the information, above to solve the question

→ From the given graph

∵ The coordinates of the points are (1, 10), (2, 20), (4, 25), (6, 40)

∵ The equation of proportion is = k

→ Let us check if all the points satisfy the equation or not

∵ x = 1 and y = 10

∴ = k

∴ 10 = k

→ Check the other points if they give the same value of k or not

∵ x = 2 and y = 20

∴ = k

∴ 10 = k

∵ x = 4 and y = 25

∴ = k

∴ = k

∵ x = 6 and y = 40

∴ = k

∴ = k

∵ Not all points satisfy the same value of k

∴ The relation does not represent a proportional relation

The relationship is not proportion because the value of is not equivalent for each point in the relationship.

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step-by-step explanation:

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