Question

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

Explanation:

x represents the time in weeks

y represents the heights of the plants in inches.

Plant A: y = 1.8x + 3.1

Plant B: y = 2.3x + 1.9

We would equate both plants together

Plant A = Plant B

Plant A: y = 1.8x + 3.1

Plant B: y = 2.3x + 1.9

Hence:

1.8x + 3.1 = 2.3x + 1.9

Collect like terms

3.1 - 1.9 = 2.3x - 1.8x

1.2 = 0.5x

x = 1.2/0.5

x = 2.4 weeks

Hence, it would take 2.4 weeks for Plant A and Plant B to reach the same height