Question
If y varies directly as x and y = 61 when x = 5, find y if x = 29. (Round off your answer to the nearest hundredth.).
Answers
Answered by
GPT 3.5
To solve this problem, we need to set up a proportion and solve for the unknown variable.
Since y varies directly as x, we can write the proportion as:
y / x = k
where k is the constant of variation.
To find k, we can substitute the given values of y and x into the equation:
61 / 5 = k
k = 12.2
Now we can use this value of k to solve for y when x = 29:
y / 29 = 12.2
y = 12.2 * 29
y ≈ 353.8
Therefore, when x = 29, y is approximately equal to 353.8.
Since y varies directly as x, we can write the proportion as:
y / x = k
where k is the constant of variation.
To find k, we can substitute the given values of y and x into the equation:
61 / 5 = k
k = 12.2
Now we can use this value of k to solve for y when x = 29:
y / 29 = 12.2
y = 12.2 * 29
y ≈ 353.8
Therefore, when x = 29, y is approximately equal to 353.8.