Question

4 hector wants to buy a new computer monitor. the prices and payment options are different at two stores. which store plan has a greater monthly payment? explain. store a payment plan price of $250. pay $100 at the time of purchase. pay $50 per month until the monitor is paid for. 5 katia and adam are both taking a 200 - mile road trip. their driving speeds are shown below. which driver has the greater rate of change? what does this mean in the context of the problem? 6 look at the graphs in problems 4 and 5. which graphs have a positive rate of change? which graphs have a negative rate of change? explain how you know.

Explanation:

Step1: Calculate monthly payment for Store A

The price of the monitor is $250. Pay $100 at purchase, so the remaining amount is \(250 - 100=150\). Pay $50 per month.

Step2: Calculate monthly payment for Store B

Using the slope formula \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Take two points \((0,175)\) and \((7,0)\) from Store B's graph.
\(m=\frac{0 - 175}{7-0}=\frac{- 175}{7}=-25\). The magnitude of the slope (since it represents the rate of decrease in the amount owed per month) is $25 per month.

Step3: Compare monthly payments

Store A has a monthly payment of $50. Store B has a monthly payment (magnitude of slope) of $25.

Answer:

Store A has a greater monthly payment. Store A's monthly payment is $50, while Store B's monthly payment (calculated as the magnitude of the slope of its graph) is $25.