6 Questions
Which type of pipe costs more per foot based on the given models? Explain your reasoning.
Copper pipe costs more per foot. In the copper pipe model, the cost per foot is $15, while in the PVC pipe model, the cost per foot is $0.5.
Based on the models, which type of pipe has more expensive fittings? Explain your reasoning.
PVC pipe has more expensive fittings. In the PVC pipe model, the fixed cost is $2.5, which accounts for the fittings cost, while in the copper pipe model, the fixed cost is $0.5.
If Joe paid $205 for 18 feet of pipe, do you think he bought PVC or copper pipe? Explain your reasoning.
Joe bought copper pipe. Substituting l = 18 into the copper pipe equation gives a cost of $270, which is closer to $205 than the cost using the PVC pipe equation.
What does the coefficient of the length variable represent in the equations provided by Joe?
The coefficient of the length variable represents the cost per foot of pipe.
How can you determine the cost of fittings from the equations given by Joe?
The cost of fittings is represented by the fixed cost term in each equation.
If the length of pipe is 30 feet, which type of pipe would be more cost-effective based on the given models?
PVC pipe would be more cost-effective. The cost for 30 feet of PVC pipe is $17.5, whereas the cost for 30 feet of copper pipe is $450.
Explore Joe the Plumber's pipe cost model equations for PVC and copper pipes based on pipe length and cost including fittings. Solve equations with length represented as 'l' and understand the associations between pipe length and cost.
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