Question

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

Answer 1

The relationship is not proportion because the value of
`(y)/(x)` is not equivalent for each point in the relationship ⇒ C

Explanation:

• The relationship between x and y are proportional if
  `(y)/(x)` = k, where k is a constant

• The proportional relation represented graphically by a line passes through the origin point

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
`(y)/(x)` = k

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

∵ x = 1 and y = 10

∴
`(10)/(1)` = k

∴ 10 = k

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

∵ x = 2 and y = 20

∴
`(20)/(2)` = k

∴ 10 = k

∵ x = 4 and y = 25

∴
`(25)/(4)` = k

∴
`(25)/(4)` = k

∵ x = 6 and y = 40

∴
`(40)/(6)` = k

∴
`(20)/(3)` = 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
`(y)/(x)` is not equivalent for each point in the relationship.