If an exponential curve intersects the y- axis at 10 and has a growth rate of 1.6, what is the equation of exponential function?

Explanation:

The general formula for an exponential function is:

with "a" the initial value and "r" the growth rate.

We are given the value at time 0:

Therefore the initial value is 10 yielding the answer above.

(there is a slight chance that your teacher defines "growth rate" not as the "r" as in (1+r) but as the entire "(1+r)" in which case you should replace 2.6 by 1.6.

24+x=y

step-by-step explanation:

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).