(7) Gemma had \( \$ 2,034 \) in her checking account. She wrote a check for \( \$ 62 S \) to pay the rent on her apartment. After the landlord cashed the chick, how much money did Gemma have left in her checking account? \( \$ 1,419 \) \( \$ \$ 2,659 \) \( \$ 2,419 \) \( \$ 1,409 \)

To find out how much money Gemma had left in her checking account after writing a check for $62S to pay the rent, we need to subtract the amount of the check from the initial amount in her account. Given: - Initial amount in Gemma's checking account: $2,034 - Amount of the check: $62S Let's calculate the amount of money Gemma had left in her checking account after writing the check: Amount left = Initial amount - Amount of the check Substitute the given values: Amount left = $2,034 - $62S Now, we need to find the value of $62S to determine the amount left in Gemma's checking account. Simplify the expression by following steps: - step0: Solution: \(2034-62S\) The amount left in Gemma's checking account after writing the check is $2034 - 62S. To find the correct answer, we need to determine the value of $62S. Since the options provided are $1,419, $2,659, $2,419, and $1,409, we can try each option to see which one satisfies the equation $2034 - 62S = amount left. Let's calculate the amount left for each option: Calculate the value by following steps: - step0: Calculate: \(2034-62\times 1.419\) - step1: Multiply the numbers: \(2034-87.978\) - step2: Subtract the numbers: \(1946.022\) For the option $1,419: Amount left = $1,946.022 Now, let's calculate the amount left for the next option: Calculate the value by following steps: - step0: Calculate: \(2034-62\times 2.659\) - step1: Multiply the numbers: \(2034-164.858\) - step2: Subtract the numbers: \(1869.142\) For the option $2,659: Amount left = $1,869.142 Next, let's calculate the amount left for the next option: Calculate the value by following steps: - step0: Calculate: \(2034-62\times 2.419\) - step1: Multiply the numbers: \(2034-149.978\) - step2: Subtract the numbers: \(1884.022\) For the option $2,419: Amount left = $1,884.022 Finally, let's calculate the amount left for the last option: Calculate the value by following steps: - step0: Calculate: \(2034-62\times 1.409\) - step1: Multiply the numbers: \(2034-87.358\) - step2: Subtract the numbers: \(1946.642\) For the option $1,409: Amount left = $1,946.642 Comparing the calculated amounts left for each option, we can see that the correct answer is $1,419.