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.$\bigcirc$ 1.9 weeks$\bigcirc$ 2.4 weeks$\bigcirc$ 3.1 weeks$\bigcirc$ 7.4 weeks

Explanation:

Step1: Set equations equal

Set $1.8x + 3.1 = 2.3x + 1.9$

Step2: Isolate x terms

Subtract $1.8x$ from both sides: $3.1 = 0.5x + 1.9$

Step3: Isolate constant terms

Subtract $1.9$ from both sides: $3.1 - 1.9 = 0.5x$
$1.2 = 0.5x$

Step4: Solve for x

Divide by $0.5$: $x = \frac{1.2}{0.5}$

Answer:

2.4 weeks