Part II: 1. The function y=5x+10 represents the total cost y of a group of x members to go paintballing. a. What do the independent and dependent variables represent? Independent variable:__________________________________________________ Dependent variable:___________________________________________________ b. Your group has enough money for up to six members to go paintballing Find the domain and range of the function. Domain:______________________________ Range:________________________________ c. 2. Is the function continuous or discrete for this situation? ____________________ Costanzo and Leffel are going to in-n-out to buy burgers and fries for one of their classes. Burgers cost 3 dollars each, and fries cost 2 dollars. They have 180 dollars to buy the food. The equation 3x+2y=180 (x is burgers and y is fries) represents this situation. a. Graph the equation. Label the axes. Interpret the intercepts. The y-intercept represents_______________________ _________________________________________ __________________________________________ The x-intercept represents _______________________ _________________________________________ __________________________________________ b. They decide to buy 30 burgers. How many fries can they order? Use the equation. Number of fries they can order_______________________ 3. Let b(t) be the number of students at Grilly’s t hours after 11 A.M. Explain the meaning of each statement. a. b(1)=15________________________________________________________________________________ _________________________________________________________________________________________ b. b(3)=b(4)_____________________________________________________________________________ _________________________________________________________________________________________ c. b(k)=3_________________________________________________________________________________ _________________________________________________________________________________________ d. b(1)< b(2) _________________________________________________________________________________ _________________________________________________________________ 4. Match each absolute value function with its graph. a. g(x)=|x-3| b. g(x) = - |x –3| c. g(x) = |x| +3 d. g(x) = 3|x-3|+1 e. g(x)= -3|x-3|+1 f. g(x)= -|x+3| - 3
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