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 each option

• Option A: The initial amount is $50, and there are two deposits of $70 each. The equation should be \(50 + 2\times70\), not \(70+2\times50\).
• Option B: Initial amount \(a = 70\). Money from mowing lawns: for two lawns at $50 each, that is \(2\times50\). Total balance \(T=a + 2\times50=70+2\times50 = 170\).
• Option C: The money from babysitting is $50 (not \(2\times50\)), so the equation should be \(70 + 50\), not \(70+2\times50\).
• Option D: The total earnings are \(70 + 50\) (not \(70+2\times50\)) and it's about opening an account with that total (not an existing account with a deposit), so this is incorrect.

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.