Question

When Charlotte plantedher tomato plant, it grew 3 inches in per week. After 5weeks, the tomato plantwas 23 inches tall. Assumethe relationship is linear. Find the rate of change $3 inches per week4.6 inches per week4 inches per week13 inches per weekPlease solve for the rate of change and initial vaule

Answer 1

Rate of Change = 3 inches per week

Initial Value, b = 8 Inches

Step-by-step explanation:

A linear relationship is of the form: y=mx+b

Where:

• m=Rate of Change

,

• b=Initial Value

The tomato plant grew 3 inches per week, so:

• m=3

After 5 weeks. x=5, the value of y=23 inches

Therefore:

`\begin{gathered} 23=3(5)+b \\ b=23-15 \\ b=8 \end{gathered}`

We conclude that the following holds:

• Rate of Change = 3 inches per week

,

• Initial Value, b = 8 Inches

,

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