A cell phone company charges $100 per month. The monthly cost increases by $5 for every family member (f) on the plan. Write and graph an equation in two variables that represents the (t) total monthly cost of the plan. What is the
Independent Variable __(t)__(f)
Dependent Variable: __(t)__(f)
Equation: _____________
t = 100+5f
The independent variable in this scenario is the number of family members (f), as it can be varied or changed.
The dependent variable is the total monthly cost of the plan (t), as it depends on the number of family members.
To write the equation, we start with the base cost of $100 and add the additional cost for each family member, which is $5 multiplied by the number of family members. This gives us:
t = 100 + 5f
In this equation, "t" represents the total monthly cost of the plan, and "f" represents the number of family members.
To graph this equation, we'll assume the number of family members (f) can vary from 0 to a maximum of 10. We can then plot the corresponding values of t on the y-axis.
Here's how the graph would look like with the equation t = 100 + 5f:
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t |
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0 2 4 6 8 10
f (family members)
The graph would show a straight line with a positive slope, indicating that as the number of family members increases, the total monthly cost of the plan also increases.