x: 0, 1, 2, 3, 4

Question

y: -1, 3, 7, 11, 15
Which equation matches the function described in the table?
a y = 4x
b y = x - 1
c y = x + 5
d y = 4x - 1

Answer 1

To determine which equation matches the function described in the table, we can plug in the x and y values and see which equation holds true for all values.

For the given table:
x: 0, 1, 2, 3, 4
y: -1, 3, 7, 11, 15

Let's plug in the values from the first row (x = 0, y = -1) into each equation:

a) y = 4x
y = 4(0) = 0
This equation does not match the y value of -1 in the table.

b) y = x - 1
y = 0 - 1 = -1
This equation matches the y value of -1 in the table.

c) y = x + 5
y = 0 + 5 = 5
This equation does not match the y value of -1 in the table.

d) y = 4x - 1
y = 4(0) - 1 = -1
This equation also matches the y value of -1 in the table.

Therefore, the equations that match the function described in the table are options b) y = x - 1 and d) y = 4x - 1.