Question

Linear Functions: Model from Two Points - Quiz - Level H

• Nevach uses a gift card to buy a cup of coffee every morning. The table shows the amount of money remaining on the card, y, as a function of the number of cups of coffee she buys, I.
The rate of change is -3 since each cup of coffee costs $3

Answer 1

Explanation:

0

Answer 2

$30.00

Explanation:

y = mx + b

m is the slope. That is the cost of each cup. We are given that is -3. Now we have to find the y-intercept. This is the original amount of money that was on the card.

To find this number, we need to use the slope (m) of -3 and any point given on the table. I am going to use the point (8,6) The 8 is the x value and the 6 is the y value.

y = mx + b

6 = -3(8) + b

6 = -24 + b Add 24 to both sides

6 + 24 = -24 + 24 + b

30 = b This is the amount at the beginning.

Helping in the name of Jesus.