Question

The student body at k-town high school is raising money for the “get sully a date” campaign. The algebros contribute $50 to get things started. After that, the students increase the balance by 45% a week (a growth factor of 1.45). write a model that represents this situation

Answer 1

The model to represent the situation is:

$y = 50(1.45)^t$

Solution:

Given that,

The algebros contribute $50 to get things started

After that, the students increase the balance by 45% a week

Growth factor = 1.45

Let "t" be the number of weeks

The growth function is given as:

$y = a(growth\ factor)^t$

Where,

y is the future value

a is the initial value

t is the number of weeks

Here,

a = 50

growth factor = 1.45

Substituting the values we get,

$y = 50(1.45)^t$

Thus the model to represent the situation is found