Type the answers in the spaces provided. Use numbers instead of words. Alex applies for positions at two different electronics stores in neighboring towns. The first job offer is a \( \$ 200 \) weekly salary plus a \( 5 \% \) commission on sales. The second job offer is a \( \$ 75 \) weekly salary plus a \( 10 \% \) commission. Let \( x \) represent the amount of weekly sales and let \( y \) represent the total salary for the week. Write a system of equations that represents the problem situation. Then, solve the system of linear equations and interpret the solution in terms of this situation. Answer \( \square \) \( \square \) ( \( \square \) , \( \square \) When Alex sells \$ \( \square \) worth of electronics per week, he earns \$ \( \square \) at either electronics store. , Select the correct answer from each drop-down menu. What is the difference in the weekly pay between stores when Alex sells \( \$ 3000 \) in merchandise? He would earn \$ \( \square \) more at the \( \square \) store. What is the difference in the weekly pay when he sells \( \$ 4225 \) in merchandise? He would earn \$ \( \square \) more at the \( \square \) store.

To formulate the system of equations, we set up the following based on the described situations: For the first store: \( y_1 = 200 + 0.05x \) For the second store: \( y_2 = 75 + 0.10x \) Now, we solve the system of equations by setting \( y_1 = y_2 \): \[ 200 + 0.05x = 75 + 0.10x \] Rearranging gives: \[ 200 - 75 = 0.10x - 0.05x \] \[ 125 = 0.05x \] \[ x = 2500 \] Now, substituting \( x \) back into either equation to find \( y \): \[ y = 200 + 0.05(2500) = 200 + 125 = 325 \] So, the solution to the equations is \( (2500, 325) \). This means that when Alex sells \$ \( 2500 \) worth of electronics per week, he earns \$ \( 325 \) at either electronics store. To calculate the difference in weekly pay when Alex sells \$ 3000 in merchandise: At the first store: \( y_1 = 200 + 0.05(3000) = 200 + 150 = 350 \) At the second store: \( y_2 = 75 + 0.10(3000) = 75 + 300 = 375 \) Difference: \( 375 - 350 = 25 \) He would earn \$ \( 25 \) more at the \( second \) store. Now for sales of \$ 4225: At the first store: \( y_1 = 200 + 0.05(4225) = 200 + 211.25 = 411.25 \) At the second store: \( y_2 = 75 + 0.10(4225) = 75 + 422.50 = 497.50 \) Difference: \( 497.50 - 411.25 = 86.25 \) He would earn \$ \( 86.25 \) more at the \( second \) store.