Suppose y varies directly with x. Write a direct variation equation that relates x and y.
y equals 7 and one-half. when x equals 3.
(1 point)
Responses
y = three-halvesx
y = Image with alt text: three-halves x
y equals two-thirds x.
Image with alt text: y equals two-thirds x.
y equals five-halves x.
Image with alt text: y equals five-halves x.
y equals two-fifths x.Suppose y varies directly with x. Write a direct variation equation that relates x and y.
y equals 7 and one-half. when x equals 3.
(1 point)
Responses
y = three-halvesx
y = Image with alt text: three-halves x
y equals two-thirds x.
Image with alt text: y equals two-thirds x.
y equals five-halves x.
Image with alt text: y equals five-halves x.
y equals two-fifths x.Suppose y varies directly with x. Write a direct variation equation that relates x and y.
y equals 7 and one-half. when x equals 3.
(1 point)
Responses
y = three-halvesx
y = Image with alt text: three-halves x
y equals two-thirds x.
Image with alt text: y equals two-thirds x.
y equals five-halves x.
Image with alt text: y equals five-halves x.
y equals two-fifths x.
The correct direct variation equation is: y = two-thirds x.
To write a direct variation equation that relates x and y, we need to find the constant of variation.
In this case, when x equals 3, y equals 7 and one-half.
To find the constant of variation, divide y by x:
(7 and one-half) ÷ 3 = 7.5 ÷ 3 = 2.5
The constant of variation is 2.5.
Thus, the direct variation equation that relates x and y is:
y = 2.5x