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

The equation in option A should be \(50 + 2\times70\), not \(70+2(50)\).

Step2: Analyze option B

Rodney has an initial amount of \(70\). He mows \(2\) lawns at \(50\) each, so the money from mowing lawns is \(2\times50 = 100\). The total amount is \(70+2\times50=70 + 100=170\), which matches the given equation.

Step3: Analyze option C

The equation for option C should be \(70+50\), not \(70 + 2(50)\).

Step4: Analyze option D

The equation for option D should be \(70+50\), not \(70+2(50)\).

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.