To describe the growth function of the zucchini plant, the rule is h(d) = 0.6d + 11, where d represents the number of days. To find out when the plant will be 0.17 meters tall, we solve for d and find out that it will take 10 days.
The question involves writing a rule to describe the function of a zucchini plant's growth and determining after how many days the plant will reach a specific height.
To find the rule, we establish the initial height and the growth rate. The plant is originally 11 centimeters tall and grows at a rate of 0.6 centimeters per day. Therefore, the growth function, h(d), where d represents days, would be h(d) = 0.6d + 11.
Next, we need to calculate after how many days the plant will be 0.17 meters tall. Since 1 meter is equal to 100 centimeters, 0.17 meters is 17 centimeters. We set up the equation 0.6d + 11 = 17 to find the value of d. Subtracting 11 from both sides gives us 0.6d = 6, and dividing both sides by 0.6 results in d = 10.
Therefore, the zucchini plant will be 0.17 meters tall after 10 days. The correct answer is A. h(d) = 0.6d + 11; 10 days.