At the beginning of spring, Lily planted a small sunflower in her backyard. The sunflower's height in inches, h, after w weeks, is given by the equation h=4w+18. What could the number 4 represent in the equation? The sunflower's height after one week. The rate of change in the sunflower's height. The sunflower's final height The sunflower's height when it was planted.

Question

At the beginning of spring, Lily planted a small sunflower in her backyard. The sunflower's height in inches,  h, after  w weeks, is given by the equation  h=4w+18. What could the number 4 represent in the equation? The sunflower's height after one week. The rate of change in the sunflower's height. The sunflower's final height The sunflower's height when it was planted.

Bytelearn · Accepted Answer

Understand Equation Terms: Analyze the equation h=4w+18 to understand what each term represents. The equation is a linear equation where h represents the height of the sunflower in inches, w represents the number of weeks, and 18 is a constant value.Role of Number 4: Identify the role of the number 4 in the equation. The number 4 is the coefficient of w, which indicates how much the height h changes for each additional week.Interpretation of Number 4: Determine what the number 4 could represent based on its role as a coefficient. Since 4 is multiplied by the number of weeks w, it represents the rate at which the sunflower's height increases each week. This is the rate of change in the sunflower's height.Check Other Options: Check if the number 4 could represent any of the other options provided. - The sunflower's height after one week would be h when w=1, which is h=4(1)+18, not just 4. - The sunflower's final height is not known from this equation, as it depends on the number of weeks w. - The sunflower's height when it was planted is given by the constant term 18, not by the number 4.

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