Question

Sandra is playing an online game where her character collects resources over time in order to progress. She has found a way to play the game so that when she begins a session with 10 gold pieces, that amount will double exactly twice each day, even when she is The amount of Sandra's gold pieces in the game, G(x) be modeled by an exponential functionx the number of days that have passed since her session began Which of the following graphs correctly models the situation above and gives the correct average rate of change from one day to three days after the session began?A. ZB. XC. Y D. W

Answer 1

when she begins a session with 10 gold pieces, that amount will double exactly twice each day

therefore,

initially, that is, at time 0 days, she has 10 gold pieces.

The next day, that is, day 1, she will have 20 gold pieces

day 2, she will have 40 gold pieces

at day 3, she will have 80 gold pieces

and at day 4, she will have 160 pieces

The charts, W and X describe the above,

Now, let's determine the average rate of change, R, from one day to three days after the session began

`R=(80-20)/(3-1)=(60)/(2)=30`

we can see that the average rate of change from day 1 to day 3, is 30 gold pieces per day.

In conclussion, the answer is chart W