One week, ben bought 2 bags of brutus bites and 3 bags of lucky licks
for $42.50. the next week he bought 5 bags of brutus bites and 6 bags of
lucky licks for $94.25. based on this information, figure out the price of
one bag of each type of dog food. explain your reasoning.

1 Brutus Bites= $9.25

1 Lucky Licks= $8.00

Step-by-step explanation:

2B + 3L= 42.50

5B + 6L= 94.25

Using the elimination method multiply the first equation by -2 to cancel the L's out.

5B + 6L= 94.25

-4B - 6L= -85  

B= 9.25

Then put this number back into the equation to solve the other.

2B + 3L = 42.5

5B + 6L = 94.25

2(9.25) + 3(8) = 42.5

5(9.25) + 6(8) = 94.25

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).