The function rule C = 40n + 210 relates the number of months n to cost in dollars C of a phone plan and budget phone. Make a table of the input/output pairs to show the cost of the phone and phone plan after 2, 12 and 24months
To create a table of input/output pairs, we will substitute the values of 2, 12, and 24 for n into the given function rule C = 40n + 210.
For n = 2:
C = 40(2) + 210
C = 80 + 210
C = 290
For n = 12:
C = 40(12) + 210
C = 480 + 210
C = 690
For n = 24:
C = 40(24) + 210
C = 960 + 210
C = 1170
Therefore, the table of input/output pairs is as follows:
| Months (n) | Cost (C) |
|------------|--------------|
| 2 | $290 |
| 12 | $690 |
| 24 | $1170 |
To create a table of the input/output pairs for the given function rule, we can substitute the values of n into the equation C = 40n + 210 and calculate the corresponding values of C.
Let's start with the given inputs: 2, 12, and 24 months.
For n = 2:
- Substitute n = 2 into the equation: C = 40(2) + 210
- Perform the calculation: C = 80 + 210
- Evaluate the expression: C = 290
- So after 2 months, the cost of the phone plan will be $290.
For n = 12:
- Substitute n = 12 into the equation: C = 40(12) + 210
- Perform the calculation: C = 480 + 210
- Evaluate the expression: C = 690
- So after 12 months, the cost of the phone plan will be $690.
For n = 24:
- Substitute n = 24 into the equation: C = 40(24) + 210
- Perform the calculation: C = 960 + 210
- Evaluate the expression: C = 1170
- So after 24 months, the cost of the phone plan will be $1170.
Now, we can create the table:
| Months (n) | Cost (C) |
|------------|--------------|
| 2 | $290 |
| 12 | $690 |
| 24 | $1170 |
In this table, the first column represents the input (number of months) and the second column represents the output (cost in dollars) according to the provided function rule.