(30pts)
2.the amount of fertilizer in a landscaping company’s warehouse decreases at a rate of 3% per week. the amount of fertilizer in the warehouse was originally 78,000 cubic yards. what function models the amount of fertilizer in cubic yards left after w weeks?

exponential growth: y=a*b^x where a initial amount and b is the growth factor.
sarah identified the initial amount as 78000 and the rate as 3%. she wrote her equation as: y=78,000 〖(3)〗^x.

error:

correct solution:

y = a(1-r)^×

source: https://mathbitsnotebook.com/Algebra2/Exponential/EXGrowthDecay.html

y = exponential decay

a = initial amount = 78000

r = decay rate = .03

x = number of time intervals = w

Error:

b = growth/ decay factor

b = 1+r for growth

b = 1-r for decay

x = w per the above information

Sarah did not account for either of these points when creating her equation.

Correct solution:

y = 78000 (1-.03)^w

mental cunning

explanation:

he is often referred to as a man of twists and turns

to complete this square you have to rotate about the origin 270 degrees clockwise.