Question

Emma was about to finish grocery shopping when she noticed that cans of soup were on sale. Her total bill for groceries would be $89.61 if she purchased two cans of soup and $94.98 if she bought five cans. Which equation could be used to describe Emma's grocery bill, B, in dollars as a function of the number of cans, C, purchased?
B(C)=2.69C+84.23

B(C)=1.99C+85.63

B(C)=1.79C+86.03

B(C)=1.07C+87.47

Answer 1

Answer:

3rd option: B(C)= 1.79C +86.03

Step-by-step explanation:

Total bill

= cost of cans(number of cans) +cost of other groceries

Let the cost of other groceries be G, and the cost of cans be X.

Given that number of cans= C,

Total bill= XC +G

If 2 cans were purchased,

2X+G= 89.61 -----(1)

If 5 cans were purchased,

5X +G= 94.98 -----(2)

(2) -(1):

(5X +G) -(2X +G)= 94.98 -89.61

5X +G -2x -G= 5.37

3X= 5.37

X= 5.37 ÷3 (÷3 on both sides)

X= 1.79

Subst. X= 1.79 into (1):

2(1.79) +G= 89.61

3.58 +G= 89.61

G= 89.61 -3.58 (-3.58 on both sides)

G= 86.03 (simplify)

Total bill

= XC +G

= 1.79C +86.03

Thus, the function is B(C)= 1.79C +86.03.