Kate is growing two plants for a science project. •plant A little starts at 6 inches and grows 1/2 inch per week. • plant B starts at 4 inches tall and grows 3/4 inches per week. After how many weeks will the plants be the same height?

8 weeks

Step-by-step explanation:

Let the number of weeks be x.

Plant A little starts at 6 inches and grows 1/2 inch per week.

This means that after x weeks, the height of the plant will be:

6 + (½ * x)

6 + x/2

Plant B starts at 4 inches tall and grows 3/4 inches per week. This means that after x weeks, the height of the plant will be:

4 + (¾ * x)

4 + 3x/4

After a particular number of weeks, their heights will be the same. That is:

6 + x/2 = 4 + 3x/4

To find x, collect like terms and simplify:

6 - 4 = 3x/4 - x/2

2 = x/4

=> x = 2 * 4 = 8 weeks

After 8 weeks, their heights will be the same.