The table shows some values for the function f. If f is a linear function, what is the value of a+b?

a24
b36
c48
d72
eit cannot be determined from the information given.

x f(x)

0 a
1 24
2 b

The Answer is c48. How did they arrive at that answer?????????

The distance from a to 24 is the same as the distance from 24 to b.

So, 24-a = b-24
rearrange the terms to solve for
a+b = you do it.

I guess I do 24+24=48 right?

Yes, you got it right! To find the value of a + b, you need to set up an equation based on the information given. The table shows that the distance from a to 24 is the same as the distance from 24 to b. So, we can write the equation as:

24 - a = b - 24

To solve for a + b, we want to find the sum of a and b. Rearranging the equation, we can add 24 to both sides:

24 - a + 24 = b - 24 + 24
48 - a = b

Now, we have the equation b = 48 - a. This means that the value of b is 48 minus the value of a. Since a is given as 24 in the table, we can substitute it into the equation:

b = 48 - 24
b = 24

Finally, to find a + b, we just add the values of a and b:

a + b = 24 + 24 = 48

Therefore, the value of a + b is 48.