The relationship between x and y is proportional. When x is 29, y is 275.5. Find the constant of proportionality of y to x. Write an equation that relates y and x. Use the equation to find x when y is 408.5.

Step-by-step explanation:

Find the constant of proportionality of y to x;

y ∝ x

y = k * x; where k = constant of proportionality

When x is 29, y is 275.5

275.5 = k * 29

k = 275.5 / 29 = 9.5

Write an equation that relates y and x.

This is given as;

y = 9.5 x

Use the equation to find x when y is 408.5.

408.5 = 9.5 x

x = 408.5 / 9.5

x = 43

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