Cameron bought snacks for his team's practice. He bought a bag of popcorn for $1.72 and a 20-pack of juice bottles. The total cost before tax was $43.52. Which equation or tape diagram could be used to represent the context if xx represents each bottle of juice costs?

Question

A
1.72
1.72
1.72
...
x
43.52
1.72x
B
1.72
1.72
1.72
...
x
41.43
1.72x
C
20, left parenthesis, x, plus, 1, point, 7, 2, right parenthesis, equals, 43, point, 5, 2
20(x+1.72)=43.52
D
1, point, 7, 2, plus, 20, x, equals, 43, point, 5, 2
1.72+20x=43.52
Answer
Multiple Choice Answers
AA
BB
CC
DD

Answer 1

To find the correct equation representing the context of the problem, we can break down the costs:

Cameron bought:

• A bag of popcorn for $1.72.
• A 20-pack of juice bottles for $x each.

Thus, the total cost of the juice bottles is \( 20x \) and the total cost of both the popcorn and the juice is:

\[ 1.72 + 20x = 43.52 \]

The correct equation that represents this situation is:

\[ 1.72 + 20x = 43.52 \]

Now looking at the options:

• A represents a diagram and does not form a correct equation.
• B also represents a diagram and does not form a correct equation.
• C suggests a different format that is not suitable for this situation.
• D correctly matches our derived equation.

Therefore, the answer is:

D - \( 1.72 + 20x = 43.52 \)