Final answer:
When xx and yy are in direct proportion, and yy is 7 when xx is 14, we find that the constant of proportionality (k) is 0.5. Using this constant, we can calculate that yy equals 6 when xx is 12.
Step-by-step explanation:
If xx and yy are in direct proportion, this means that as xx increases, yy increases at the same rate, and if xx decreases, yy decreases at the same rate. The question provides the information that yy is 7 when xx is 14. Because they are in direct proportion, we can write this relationship as yy = k * xx, where k is the constant of proportionality.
First, we need to find the constant of proportionality (k) using the values given: yy = 7 when xx = 14.
- 7 = k * 14
- k = 7 / 14
- k = 0.5
Now that we have the constant of proportionality, we can use it to find yy when xx is 12.
- yy = k * xx
- yy = 0.5 * 12
- yy = 6
Therefore, when xx is 12, yy is 6, which corresponds to option (a).