Students in an algebra class simulated the spread of an inva

Students in an algebra class simulated the spread of an invasive plant in a pond. Each trial in their simulation represents one week. They collected the following plant data:

Question 7 (rubric) Students in an algebra class simulated the spread of an invasive plant in a pond. Each trial in their simulation represents one week. They collected the following plant data: Number of WeekS 0 Number of Plants 12 18 27 40 60 90 4 Which equation below best represents the relationship between the number of weeks since the plants started spreading and the total number of plants in the pond? Explain why you chose your answer A y = 12 + 1.5x By = 12x1.5 OC y = 12(1.5)\" D y = 12 + V1.57 12 Explanation: Save this item

Solution

the data shows an exponential relationship

if we divide next term by previous term we always get a constant value 1.

so the growth rate is 1.5

standard exponential equation is given by

y = a (b)^x

where , a = initial value

b = growth rate

plugging the values we get

y = 12(1.5)^x