Given the following exponential function, identify whether the change represents
growth or decay, and determine the percentage rate of increase or decrease.
y= 250(1.904)

Step-by-step explanation:

The exponential function is of the standard form

where a is the initial value and b is the growth/decay rate.  The rule for growth is if the b value is greater than 1, it's growth; if the b value is less than 1 but greater than 0, it's decay.

The tricky thing about determining the rate of growth is to keep in mind that you are starting with 100% of whatever it is you have and then are adding a certain percent to that.  Our initial value is 250.  Say, 250 bacteria in a dish.  If this b value is 1.904, that means that we are starting with 100% of the 250 bacteria but are adding 90.4% more to it per hour or day or minute.  100% + 90.4% = 190.4%, which in decimal form is 1.904.  Our growth rate is 90.4%.

Long story short, if the value of b is greater than 1, move the decimal 2 places to the right to get the percentage.  Subtract 100% from that percentage and that difference is your percent increase (aka growth rate).

1.904, moving the decimal 2 places to the right gives you 190.4%

Subtract 100% from 190.4% to get 90.4%.  That's the easy way to find the growth rate.

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !