Question

Students graphed the growth rate over several weeks of two plants in their classroom. The equations of both plants are given where x represents the time in weeks and y represents the heights of the plants in inches.

Plant A: y = 1.8x + 3.1
Plant B: y = 2.3x + 1.9
Approximately how many weeks will it take for both plants to reach the same height? Round your answer to the nearest tenth.
1.9 weeks
2.4 weeks
3.1 weeks
7.4 weeks

Answer 1

Answer is B

Step-by-step explanation:

took it on edge, it was right.

Answer 2

The answer is 2.4 weeks

x - the time in weeks
y - the heights of the plants in inches

When both plants to reach the same height, then yA = yB
y = 1.8x + 3.1
y = 2.3x + 1.9

2.3x + 1.9 = 1.8x + 3.1
2.3x - 1.8x = 3.1 - 1.9
0.5x = 1.2
x = 1.2 : 0.5
x = 2.4