There is a hot market at school for used graduation gowns, in fact, the price is growing exponentially! Last week!
could have gotten one for $25, but today, one week later, the price is $37.50. What would the price be if I decide
to wait to buy my graduation gown at graduation, six weeks from now? Show your work.

Step-by-step explanation:

we know that

The equation of a exponential growth function is equal to

where

y is the price in dollars

x is the number of weeks

a is the initial value

r is the rate of change

we have

substitute

Remember that

one week later, the price is $37.50

so

we have the ordered pair (1,37.50)

substitute in the exponential function

solve for x

substitute

For x=6 weeks

substitute the value of x

the third picture

step-by-step explanation: