the equation y = 18x represents the relationship between x, the number of hours biked, and y, the distance…

the equation y = 18x represents the relationship between x, the number of hours biked, and y, the distance traveled. which ordered pairs represent a number of hours and the corresponding distance in the given equation? choose all that apply. (2,36) (3,54) (5,23) (23,5) (36,2) (54,3)

the equation y = 18x represents the relationship between x, the number of hours biked, and y, the distance traveled. which ordered pairs represent a number of hours and the corresponding distance in the given equation? choose all that apply. (2,36) (3,54) (5,23) (23,5) (36,2) (54,3)

Answer

Explanation:

Step1: Recall the equation

The equation is $y = 18x$.

Step2: Check the pair (2,36)

Substitute $x = 2$ into the equation: $y=18\times2 = 36$. So (2,36) is valid.

Step3: Check the pair (3,54)

Substitute $x = 3$ into the equation: $y=18\times3 = 54$. So (3,54) is valid.

Step4: Check the pair (5,23)

Substitute $x = 5$ into the equation: $y=18\times5=90\neq23$. So (5,23) is not valid.

Step5: Check the pair (23,5)

Substitute $x = 23$ into the equation: $y=18\times23 = 414\neq5$. So (23,5) is not valid.

Step6: Check the pair (36,2)

Substitute $x = 36$ into the equation: $y=18\times36=648\neq2$. So (36,2) is not valid.

Step7: Check the pair (54,3)

Substitute $x = 3$ into the equation: $y=18\times3 = 54$. So (54,3) is valid.

Answer:

(2,36), (3,54), (54,3)