Question

If y varies directly as x and y = 5.5 when x = 11, find x when y = 3.5

0 x = 7
O x = 6
O x = 1.75
O x = 1.25

Answer 1

x =7

Explanation:

The direct variation equation is y = kx, where k is the constant of proportionality.

If y = 5.5 when x = 11, we can write 5.5 = 11k, which, when solved for k, yields k = 0.5.

Then the direct variation equation in this case is y = 0.5x.

If y = 3.5, what is x? y = 0.5x becomes 3.5 = 0.5x, yielding x = 7

Answer 2

x=7

Explanation:

y=mx

5.5=m×11

5.5÷11=m

m=1/2

y=mx

3.5=1/2×x

3.5÷1/2=x

x=7