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Suppose that y is directly proportional to x. Find the constant of proportionality k if y = 148.8 when x = 16. (Write your answer as a decimal.) Using the k from above write the variation equation in terms of x. y = Using the k from above find y given that x = 29. y = If needed, round answer to 3 decimal places. Enter DNE for Does Not Exist, oo for Infinity

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Solution

For the frist case we know the following formula:

y= kx

Since y is proportional to x

Then since we know that y= 148.8 and x= 16 we can solve for k and we got:

[tex]k=\frac{148.8}{16}=9.3[/tex]

For the second part we just need to replace x= 29 and we got:

[tex]y=9.3\cdot29=269.7[/tex]

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