Question

Please help as soon as possible! Kia's plant is 8 1/5 inches tall and is growing 2/3 of an inch each week. Lyric's plant is 10 7/10 inches tall and is growing 1/6 inch each week. Write and solve an equation to find how many weeks it will take for the height of the two plants to be the same.
Equation:___________

Solution:___________

I know I'm using y=mx+b but how would I write out my answer and I'm just confused on how I'd solve this.

Answer 1

To find the answer, you find out the height of the plants for each week until they're the same.

Equation: Growth × Week + Original Height

For Kia: 2/3w + 8 1/5
For Lyric: 1/6w + 10 7/10
Kia:
Week 0 = 8 1/5 in.
Week 1 = 8 13/15 in.
Week 2 = 9 8/15 in.
Week 3 = 10 1/5 in.
Week 4 = 10 13/15 in.
Week 5 = 11 8/15 in.

Lyric:
Week 0 = 10 7/10 in.
Week 1 = 10 13/15 in.
Week 2 = 11 1/30 in.
Week 3 = 11 1/5 in.
Week 4 = 11 11/30 in.
Week 5 = 11 8/15 in.

Solution: 5 Weeks