Question

The equation y = 0.62x describes the approximate number of miles y in x kilometers. Which of the following points is a solution of the equation y = 0.62x? a. (4.96, 5.58) c. (8, 4.96) b. (4.96, 8) d. (8, 8.62)

Answer 1

c. (8, 4.96)

Explanation:

The equation y=0.62x describing the miles that there are in a certain number of kilometers is an expression that can be solved by the point (8,4.96) because as you remember a point is organized (x,y) and if we take those values and solve the equation it is correct:

`y=0.62x\\y=(0.62)(8)\\y=4.96`

8 kilometers are equal to 4.96 miles, and the correct answer would be c. (8, 4.96)

Answer 2

(8, 4.96)

Explanation:

If a point (a,b) is the solution to the equation
`y=0.62x,` then its coordinates satisfy the above equation.

Check all points:

A. (4.96, 5.58)

`0.62\cdot 5.58=3.4596\\eq 4.96`

False

B. (8, 4.96)

`0.62\cdot 8=4.96`

True

C. (4.96, 8)

`0.62\cdot 4.96=3.0752\\eq 8`

False

D. (8,8.62)

`0.62\cdot 8=4.96\\eq 8.62`

False