Word problem-Am I correct?

[crystl1122]

1. Suppose you are at the gas station filling your tank with gas. The function C(g) represents the cost C of filling up the gas tank with g gallons of regular gasoline. Given the equation C(g)=2.49(g)



a) What does the number 2.49 represent?
*It represents gallons of gas if the cost per gallon is $2.49


b) Find C(4).
* C(4)=2.49 Multiply 4=9.96


c) Find C(8).
* C(8)=2.49 multiply 8= 19.92


d) For the average motorist, name one value for g that would be inappropriate for this function’s purpose. Explain why you chose the number you did.
*G cannot be -4, for example. You cannot fill your tank with a negative number of gallons for gas.

e) If you were to graph C(g), what would be an appropriate domain? Range? Explain your reasoning.
* The domain should go from g to g+50. You can't have a negative number of gallons, so g must be greater.

 

[masters]

1. Suppose you are at the gas station filling your tank with gas. The function C(g) represents the cost C of filling up the gas tank with g gallons of regular gasoline. Given the equation C(g)=2.49(g)



a) What does the number 2.49 represent?
*It represents gallons of gas if the cost per gallon is $2.49 <=====I would say cost per gallon


b) Find C(4).
* C(4)=2.49 Multiply 4=9.96 <===== Correct!


c) Find C(8).
* C(8)=2.49 multiply 8= 19.92 <===== Correct!


d) For the average motorist, name one value for g that would be inappropriate for this function’s purpose. Explain why you chose the number you did.
*G cannot be -4, for example. You cannot fill your tank with a negative number of gallons for gas. <=====Correct! Or something like 500. Your tank couldn't possibly hold 500 gallons.

e) If you were to graph C(g), what would be an appropriate domain? Range? Explain your reasoning.
* The domain should go from 0 to tank capacity, maybe 50. You can't have a negative number of gallons, so g must be greater than 0.

The range would be 0 to 50(2.49)