Question

1. which table contains only corresponding x-values and y-values where the value of y is 5 more than the quotient of x and 2?

a.

x	y
8	5.5
12	7.5
19	11

b.

x	y
8	2.5
12	3
19	4.5

c.

x	y
8	4
12	6
19	9.5

d.

x	y
8	9
12	11
19	14.5

Explanation:

Step1: Formulate the equation

The problem states that \( y \) is 5 more than the quotient of \( x \) and 2. So the equation is \( y=\frac{x}{2}+5 \).

Step2: Test option A

For \( x = 5 \): \( y=\frac{5}{2}+5 = 2.5 + 5=7.5
eq4 \). So A is incorrect.

Step3: Test option B

For \( x = 5 \): \( y=\frac{5}{2}+5 = 2.5+5 = 7.5
eq0.5 \). So B is incorrect.

Step4: Test option C

For \( x = 5 \): \( y=\frac{5}{2}+5=2.5 + 5 = 7.5
eq2.5 \). So C is incorrect.

Step5: Test option D

For \( x = 5 \): \( y=\frac{5}{2}+5=2.5 + 5 = 7.5 \) (matches).
For \( x = 8 \): \( y=\frac{8}{2}+5 = 4 + 5=9 \) (matches).
For \( x = 12 \): \( y=\frac{12}{2}+5=6 + 5 = 11 \) (matches).
For \( x = 19 \): \( y=\frac{19}{2}+5 = 9.5+5 = 14.5 \) (matches).

Answer:

D.

x	y
8	9
12	11
19	14.5