Question
If xx and yy vary directly and yy is 40 when xx is 10, find yy when xx is 15.
Answers
GPT 3.5
If xx and yy vary directly, it means they can be represented by a proportional equation of the form yy = k * xx, where k is the constant of variation.
To find the value of k, we can use the information given: yy is 40 when xx is 10.
Substituting these values into the equation, we have 40 = k * 10.
Solving for k, we find k = 4.
Now that we have the value of k, we can use it to find yy when xx is 15.
yy = k * xx = 4 * 15 = 60.
Therefore, when xx is 15, yy is 60.
To find the value of k, we can use the information given: yy is 40 when xx is 10.
Substituting these values into the equation, we have 40 = k * 10.
Solving for k, we find k = 4.
Now that we have the value of k, we can use it to find yy when xx is 15.
yy = k * xx = 4 * 15 = 60.
Therefore, when xx is 15, yy is 60.