Consider the exponential function f(x)=250(1.03)^x which models shawnda's savings account where x represents the number of years since the money was invested

part a: is the money in the account growing or decaying?

part b: what is the rate of growth or decay?

part c: what does the value 250 represent?

The answers are:

Part a: The money in the account is growing.

Part b: The rate of growth is 3%

Part c: The value 250 represents the starting amount of money.

To solve the problem, first, we must remember the structure of the exponential growth or decay function:

Where,

- Start Amount, is the starting value or amount

- Rate, is the rate of growth or decay, we must consider the following conditions:

If the rate is greater than 1, the rate is a growth rate.

If the rate is lower than 1, the rate is a decay rate.

- t, is the time elapsed.

Therefore, we are given the following function:

From the function we can see that:

- Since the rate is 1.03 and it's greater than 1, the money in the account is growing.

- From the function we already know that the rate of growth is equal to 1.03

The rate is calculated by the following formula:

- The value 250 represents the starting amount of money.

Hence, the answers are:

Part a: The money in the account is growing.

Part b: The rate of growth is 3%

Part c: The value 250 represents the starting amount of money.

Have a nice day!

y=mx+b

step-by-step explanation:

m slope, b y-intercept

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.