ChrisTuneridn
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7. Stacy planted a sunflower and kept track of how fast it grew. She used the equation [tex]g = 1.75w[/tex], where [tex]g[/tex] is the height of the plant and [tex]w[/tex] is the number of weeks to keep track of the growth.

What does the 1.75 represent?

A. Height of the plant
B. Weeks it has grown
C. Height at the beginning
D. Amount it grows every week

Sagot :

GinnyAnsweridn
Let's break down the problem step-by-step and interpret the equation given:

1. Understanding the Given Equation:
- The equation given is [tex]\( g = 1.75w \)[/tex], where:
- [tex]\( g \)[/tex] represents the height of the plant.
- [tex]\( w \)[/tex] represents the number of weeks since the plant was planted.

2. Identifying the Coefficient:
- In this equation, the number 1.75 is the coefficient of [tex]\( w \)[/tex].

3. Interpreting the Coefficient 1.75:
- The coefficient in an equation represents the rate of change. In this context, it indicates how much the height of the plant (g) increases as the number of weeks ([tex]\(w\)[/tex]) increases.
- Thus, 1.75 represents how much the height of the plant grows for each additional week.

4. Selecting the Correct Answer:
- To determine what 1.75 represents, we need to choose from the given multiple-choice options:
A. Height of the plant
B. Weeks it has grown
C. Height at the beginning
D. Amount it grows every week

- Considering our interpretation, 1.75 indicates the amount the plant grows each week. Therefore, the correct answer is:

D. Amount it grows every week

By following these steps, we've determined that the 1.75 in the equation [tex]\( g = 1.75w \)[/tex] represents the amount the plant grows every week.
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