Question

x: 0, 1, 2, 3, 4
y: 2, 7, 12, 17, 22
which equation matches the function described by the table?
a y= 5x
b y= x + 2
c y= 5x + 2
d y= 6x - 1

Answer 1

To find the correct equation that matches the function described by the table, we can plug in the values given and see which equation gives the correct outputs.

For x=0:
- a: y = 5(0) = 0
- b: y = 0 + 2 = 2
- c: y = 5(0) + 2 = 2
- d: y = 6(0) - 1 = -1

For x=1:
- a: y = 5(1) = 5
- b: y = 1 + 2 = 3
- c: y = 5(1) + 2 = 7
- d: y = 6(1) - 1 = 5

For x=2:
- a: y = 5(2) = 10
- b: y = 2 + 2 = 4
- c: y = 5(2) + 2 = 12
- d: y = 6(2) - 1 = 11

For x=3:
- a: y = 5(3) = 15
- b: y = 3 + 2 = 5
- c: y = 5(3) + 2 = 17
- d: y = 6(3) - 1 = 17

For x=4:
- a: y = 5(4) = 20
- b: y = 4 + 2 = 6
- c: y = 5(4) + 2 = 22
- d: y = 6(4) - 1 = 23

Based on the results, it is clear that the equation that matches the function described by the table is:
c) y= 5x + 2