Question

You are preparing for a party and need to know how many cans of soda to buy. You know that you want four cans, and you estimate that each of your friends will drink three cans. You set up an arithmetic equation to calculate the number of cans of soda for friends. Match each term in the sequence with the correct number of cans.

Term ______ cans
Term ______ cans
Term ______ cans
Term ______ cans
a. 4 cans
b. 3 cans
c. 12 cans
d. 9 cans

Option 2
Option 3
Option 4
Option 1

Answer 1

The sequence for the number of cans needed for a party starts with 4 cans for yourself, and increases by 3 cans for each friend. The terms match the following quantities: Term 1: 4 cans, Term 2: 7 cans, Term 3: 10 cans, and Term 4: 13 cans.

Step-by-step explanation:

To calculate the number of cans of soda you need to buy for a party, you need to establish how many cans you will drink and how many your friends will consume. Since you have already decided you will drink four cans (Term 1), and you estimate that each friend will drink three cans, the arithmetic sequence starts with 4 cans (Term 1) and increases by 3 cans with each term representing an additional friend.

Thus, the sequence for the number of cans goes as follows:

• Term 1: 4 cans
• Term 2: 4 cans + 3 cans = 7 cans
• Term 3: 7 cans + 3 cans = 10 cans
• Term 4: 10 cans + 3 cans = 13 cans

Therefore, the terms match with the number of cans as follows:

• Term 1: 4 cans (Option a)
• Term 2: 7 cans (Option d)
• Term 3: 10 cans (Option c)
• Term 4: 13 cans (Option b)