A television sells for \( \$ 800 \). Instead of paying the total amount at the time of the purchase, the same television can be bought by paying \( \$ 200 \) down and \( \$ 50 \) a month for 14 months. How much is saved by paying the total amount at the time of the purchase? \( \$ \square \) is saved by paying the total amount at the time of purchase.

To find out how much is saved by paying the total amount at the time of the purchase, we first need to calculate the total cost of the television using the installment plan. The upfront payment is \( \$200 \), and the monthly payments are \( \$50 \) for 14 months. Therefore, the total cost with the installment plan is: \[ 200 + (50 \times 14) = 200 + 700 = 900 \] Now, to determine how much is saved by paying the total amount of \( \$800 \) upfront: \[ 900 - 800 = 100 \] Thus, the amount saved by paying the total amount at the time of purchase is \( \$100 \). So, \( \$100 \) is saved by paying the total amount at the time of purchase.