Interactive practice questions
Consider the following phone plans:
GO SMALL plan: This plan has a $\$30$$30 monthly base charge and charges $90$90 cents per minute for all calls.
GO MEDIUM plan: This plan has a $\$38$$38 monthly base charge and then charges $70$70 cents per minute for all calls.
Complete the following table of values for various total monthly call times for the two plans:
| Call time (in minutes) | Total cost for GO SMALL plan | Total cost for GO MEDIUM plan |
|---|---|---|
| $30$30 | $\editable{}$ | $\editable{}$ |
| $40$40 | $\editable{}$ | $\editable{}$ |
| $50$50 | $\editable{}$ | $\editable{}$ |
| $60$60 | $\editable{}$ | $\editable{}$ |
Sketch the graph of the two plans.
Determine how many minutes of calls results in the same monthly bill for both plans.
The cost $C$C of manufacturing toys is related to the number $n$n of toys produced by the formula $C=900+5n$C=900+5n. The revenue $R$R made from selling $n$n toys is $R=8n$R=8n.
This graph shows the cost $C\left(x\right)$C(x), the revenue $R\left(x\right)$R(x) and the profit $P\left(x\right)$P(x) from making and selling $x$x units of a certain good. Each line has been labelled.
The monthly cost $C\left(x\right)$C(x), revenue $R\left(x\right)$R(x) and profit $P\left(x\right)$P(x) functions for a car washing company are given below, where $x$x represents the number of clients in a month:
$C\left(x\right)=38x+1700$C(x)=38x+1700
$R\left(x\right)=55x$R(x)=55x
$P\left(x\right)=17x-1700$P(x)=17x−1700