Question

Given: y varies directly with x and has a constant rate of change of 7. When the value of y is 12, then the value of x would be _____.
a. equal to zero
b. less than 2
c. equal to 7
d. greater than 12

Answer 1

Answer: b. less than 2

Step-by-step explanation:

When two variables x and y are directly proportional, then

The equation that shows direct variation is given by :-

$y=kx$, where k is the proportionality constant.

Given: The constant rate of change k= 7

The value of y = 12

Substitution the values of k and y in the above equation, we get

$12=7x\\\\\Rightarrow\ x=\dfrac{7}{12}$

Answer 2

Your answer should be B, less than 2

With the rate of change known, the equation is most likely:

Y = 7X

So if we were to plug in 12 for Y...

12 = 7X

Divide both by 7

1.714 = X

Which is slightly less than 2.

I hope this helps!