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

Answer:

(8, 4.96)

Step-by-step 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)

$0.62\cdot 5.58=3.4596\neq 4.96$

False

B. (8, 4.96)

$0.62\cdot 8=4.96$

True

C. (4.96, 8)

$0.62\cdot 4.96=3.0752\neq 8$

False

D. (8,8.62)

$0.62\cdot 8=4.96\neq 8.62$

False

Answer 2

Answer:

c. (8, 4.96)

Step-by-step 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)