Question

multiple choice 5 points the grass on julies lawn was 4.5 centimeters tall right after she mowed it. then the grass grew at a rate of 2.1 centimeters per week. which equation models the relationship between h, the height of the grass in centimeters, and w, the number of weeks since julie mowed? image.png w = 4.5h + 2.1 h = 4.5w + 2.1 w = 2.1h + 4.5 h = 2.1w + 4.5 clear my selection

Explanation:

Step1: Identify the relationship type

This is a linear relationship where the initial height (y - intercept) is 4.5 cm and the rate of growth (slope) is 2.1 cm per week. The formula for a linear equation is \( h = \text{slope} \times w + \text{initial height} \).

Step2: Substitute values into the formula

The slope (rate of growth) is 2.1, and the initial height is 4.5. So the equation should be \( h = 2.1w + 4.5 \).

Answer:

\( h = 2.1w + 4.5 \) (the option with this equation)