Question

1. the total amount, in dollars, vincent spent over the past nine days can be seen in the table below.

day	2	6	9

his friend jay spent two more dollars each day. which equation can be used to determine the total amount of money jay spent, y, after x number of days?
\\( y = 8x + 4 \\)
\\( y = 10x \\)
\\( y = 10 + 6x \\)

Explanation:

Step1: Test \( y = 8x + 4 \)

Substitute \( x = 2 \): \( y = 8(2)+4 = 20 \), matches. Substitute \( x = 6 \): \( y = 8(6)+4 = 52 \), matches. Substitute \( x = 9 \): \( y = 8(9)+4 = 76 \), matches.

Step2: Test \( y = 10x \)

Substitute \( x = 2 \): \( y = 20 \), but next \( x = 6 \): \( y = 60
eq 52 \), fails.

Step3: Test \( y = 10 + 6x \)

Substitute \( x = 2 \): \( y = 22
eq 20 \), fails.

Answer:

\( y = 8x + 4 \) (the first option)