Question

Rey buys 4 cards for $10. He plots the point (4, 10) on a graph. All cards are the same price. He wants to see how much it would cost to buy more cards. Tell whether each statement is True or False. A. The point (6, 15) will be on the graph.

Answer 1

Answer:

• True. The point (6,15) will be on the graph.

Explanation:

Since all cards have the same price, there is a direct relation between the number of cards and the cost, with the unit price being the constant of proportionality.

The unit price is determined from the point (4, 10), whihc means 4 cards for $10.

• K = unit price = $10/4cards = $2.5 per card.

Point (6,15) means that 6 cards cost $15. Is that true?

Use the constant of proportionality:

• Cost = K × number of cards

• Cost = $2.5/card × 6cards= $15.

Hence, indeed the cost of 6 cards is $15, and that is represented by the point (6, 15).