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 the equation components

The equation is $70 + 2(50)=170$. Here, 70 is an initial amount, 2(50) means 2 times 50 or $50 + 50$ which is an additional amount being added to 70.

Step2: Check each option

• Option A: Initial amount is 50 and additional is 2 times 70, not matching the equation.
• Option B: Initial amount in savings is 70, and additional amount from mowing 2 lawns at $50$ each (i.e., $2\times50 = 100$) is added to 70 to get $70+100 = 170$, which matches the equation.
• Option C: Initial is 70 and additional is 50, not 2 times 50 as in the equation.
• Option D: It's about adding two - day earnings to open an account, not in the form of the given equation.

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.