Question

which of the following explanations would describe the meaning of the equation 70 + 2(50) = 170?
a jane has $50 in her savings account. her grandmother sends her two deposits of $70 each for a total of $140, jane has $170 in her savings account.
b rodney has $70 in his savings account. he collects $100 for two lawns that he has mowed at $50 each. after rodney deposited the money collected into his savings account, he has a balance of $170.
c sofia baby sat for the mcdonalds two nights for $50 total. she deposits her money into her savings account which has $70. sofia deposits the $50 into her savings account, which gives her a balance of $170.
d howard works for his dad at the hardware store both days of the weekend. he earns $70 on his long first day and $50 on day 2 because it is a shorter work day. howard opens a savings account with his first weeks earnings with a starting balance of $170.

Explanation:

Step1: Analyze Option A

Jane has $50. Her grandmother sends two deposits of $70 each. The total should be \(50 + 2\times70=50 + 140 = 190
eq170\).

Step2: Analyze Option B

Rodney has $70. He mows two lawns at $50 each, so he earns \(2\times50 = 100\). The total balance is \(70+2\times50=70 + 100=170\).

Step3: Analyze Option C

Sofia has $70 and deposits $50. The total should be \(70 + 50=120
eq170\).

Step4: Analyze Option D

Howard earns $70 and $50. If he opens an account with these earnings, the balance should be \(70 + 50=120
eq170\).

Answer:

B. Rodney has $70 in his savings account. He collects $100 for two lawns that he has mowed at $50 each. After Rodney deposited the money collected into his savings account, he has a balance of $170.