Answer :
Sure! Let's evaluate the function [tex]\( f(a) = 5a + 12 \)[/tex] for each given value of [tex]\( a \)[/tex] and find which result matches with the given options.
1. For [tex]\( a = 4 \)[/tex]:
- Substitute [tex]\( a = 4 \)[/tex] into the function:
[tex]\[
f(4) = 5 \times 4 + 12 = 20 + 12 = 32
\][/tex]
- So, [tex]\( f(4) = 32 \)[/tex].
2. For [tex]\( a = 5 \)[/tex]:
- Substitute [tex]\( a = 5 \)[/tex] into the function:
[tex]\[
f(5) = 5 \times 5 + 12 = 25 + 12 = 37
\][/tex]
- So, [tex]\( f(5) = 37 \)[/tex].
3. For [tex]\( a = 2 \)[/tex]:
- Substitute [tex]\( a = 2 \)[/tex] into the function:
[tex]\[
f(2) = 5 \times 2 + 12 = 10 + 12 = 22
\][/tex]
- So, [tex]\( f(2) = 22 \)[/tex].
4. For [tex]\( a = 6 \)[/tex]:
- Substitute [tex]\( a = 6 \)[/tex] into the function:
[tex]\[
f(6) = 5 \times 6 + 12 = 30 + 12 = 42
\][/tex]
- So, [tex]\( f(6) = 42 \)[/tex].
Now, let's match each result with the correct value:
- [tex]\( a = 4 \)[/tex] matches with [tex]\( f(a) = 32 \)[/tex] (option b)
- [tex]\( a = 5 \)[/tex] matches with [tex]\( f(a) = 37 \)[/tex] (option d)
- [tex]\( a = 2 \)[/tex] matches with [tex]\( f(a) = 22 \)[/tex] (option a)
- [tex]\( a = 6 \)[/tex] matches with [tex]\( f(a) = 42 \)[/tex] (option c)
Here's the complete matching:
- 1. [tex]\( a = 4 \)[/tex] — [tex]\( f(a) = 32 \)[/tex] (b)
- 2. [tex]\( a = 5 \)[/tex] — [tex]\( f(a) = 37 \)[/tex] (d)
- 3. [tex]\( a = 2 \)[/tex] — [tex]\( f(a) = 22 \)[/tex] (a)
- 4. [tex]\( a = 6 \)[/tex] — [tex]\( f(a) = 42 \)[/tex] (c)
1. For [tex]\( a = 4 \)[/tex]:
- Substitute [tex]\( a = 4 \)[/tex] into the function:
[tex]\[
f(4) = 5 \times 4 + 12 = 20 + 12 = 32
\][/tex]
- So, [tex]\( f(4) = 32 \)[/tex].
2. For [tex]\( a = 5 \)[/tex]:
- Substitute [tex]\( a = 5 \)[/tex] into the function:
[tex]\[
f(5) = 5 \times 5 + 12 = 25 + 12 = 37
\][/tex]
- So, [tex]\( f(5) = 37 \)[/tex].
3. For [tex]\( a = 2 \)[/tex]:
- Substitute [tex]\( a = 2 \)[/tex] into the function:
[tex]\[
f(2) = 5 \times 2 + 12 = 10 + 12 = 22
\][/tex]
- So, [tex]\( f(2) = 22 \)[/tex].
4. For [tex]\( a = 6 \)[/tex]:
- Substitute [tex]\( a = 6 \)[/tex] into the function:
[tex]\[
f(6) = 5 \times 6 + 12 = 30 + 12 = 42
\][/tex]
- So, [tex]\( f(6) = 42 \)[/tex].
Now, let's match each result with the correct value:
- [tex]\( a = 4 \)[/tex] matches with [tex]\( f(a) = 32 \)[/tex] (option b)
- [tex]\( a = 5 \)[/tex] matches with [tex]\( f(a) = 37 \)[/tex] (option d)
- [tex]\( a = 2 \)[/tex] matches with [tex]\( f(a) = 22 \)[/tex] (option a)
- [tex]\( a = 6 \)[/tex] matches with [tex]\( f(a) = 42 \)[/tex] (option c)
Here's the complete matching:
- 1. [tex]\( a = 4 \)[/tex] — [tex]\( f(a) = 32 \)[/tex] (b)
- 2. [tex]\( a = 5 \)[/tex] — [tex]\( f(a) = 37 \)[/tex] (d)
- 3. [tex]\( a = 2 \)[/tex] — [tex]\( f(a) = 22 \)[/tex] (a)
- 4. [tex]\( a = 6 \)[/tex] — [tex]\( f(a) = 42 \)[/tex] (c)
