isabella recently opened her online candle shop, spectacular scents. her sales in the first week were $86…

isabella recently opened her online candle shop, spectacular scents. her sales in the first week were $86. after advertising her new shop on social media, her sales increased by 20% the following week and continued to increase at that rate. write an exponential equation in the form y = a(b)^x that can model isabellas weekly sales, y, x weeks after opening her shop. use whole numbers, decimals, or simplified fractions for the values of a and b. y =

isabella recently opened her online candle shop, spectacular scents. her sales in the first week were $86. after advertising her new shop on social media, her sales increased by 20% the following week and continued to increase at that rate. write an exponential equation in the form y = a(b)^x that can model isabellas weekly sales, y, x weeks after opening her shop. use whole numbers, decimals, or simplified fractions for the values of a and b. y =

Answer

Answer:

$y = 86(1.2)^{x}$

Explanation:

Step1: Identify the initial - value

The initial sales in the first week is $a = 86$.

Step2: Identify the growth factor

The sales increase by 20% each week. The growth factor $b=1 + 0.2=1.2$.

Step3: Write the exponential equation

Substitute $a = 86$ and $b = 1.2$ into $y=a(b)^{x}$, we get $y = 86(1.2)^{x}$.