1.13 Function model selection and assumption articulation
Interactive practice questions
Harry and Skye each have $\$2000$$2000 in savings to invest. Harry chooses to put his savings in a fund that generates a return of $\$60$$60 each month, while Skye chooses to put her savings in a fund that generates a return of $2%$2% each month.
Complete the tables. Give all values correct to the nearest cent.
Note that the $2%$2% return on Skye's funds is calculated on the rounded value of the previous month.
| Month | $0$0 | $1$1 | $2$2 | $3$3 | $4$4 |
|---|---|---|---|---|---|
| Value of Harry's investment (dollars) | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ |
| Month | $0$0 | $1$1 | $2$2 | $3$3 | $4$4 |
|---|---|---|---|---|---|
| Value of Skye's investment (dollars) | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ |
What is the change in Harry's investment between months $2$2 and $3$3?
What is the change in Skye's investment between months $2$2 and $3$3?
Identify the type of the function representing the value of Harry's investment.
Linear
Non-linear
Identify the type of the function representing the value of Skye's investment.
Linear
Non-linear
Whose investment increased the most in value between months $2$2 and $3$3?
Skye's
Harry's
Does the function that is satisfied by the ordered pairs: $\left\{\left(-2,-5\right),\left(1,-20\right),\left(2,-25\right),\left(7,-50\right),\left(9,-60\right)\right\}${(−2,−5),(1,−20),(2,−25),(7,−50),(9,−60)} have a constant or a variable rate of change?
Due to adverse market conditions, Tobias and Gwen have had to reduce the number of staff at their respective companies, which at the moment both have $310$310.
Tobias plans on reducing staff numbers by $41$41 each year for the next five years, while Gwen plans on reducing staff numbers by $8$8 next year, $16$16 in the year after next, $24$24 in the year after that, and so on.
Mario and Christa have both recently started their own small businesses, and neither of them initially have any clients. Over the first year, Mario's client base increased by $27$27 per month, while Christa's client base increased by $6$6 in its first month, $12$12 in its second month, $18$18 in its third month, and so on.