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Given the function [tex]T=18h+250[/tex], find the values of the function.

(a) Find [tex]T[/tex] when [tex]h=2[/tex].

(b) Find [tex]T[/tex] when [tex]h=8[/tex].

Sagot :

GinnyAnsweridn
Certainly! Let’s solve the given questions step-by-step.

We are given the function [tex]\( T = 18h + 250 \)[/tex] and asked to determine the values of [tex]\( T \)[/tex] for specific values of [tex]\( h \)[/tex].

### (a) Find [tex]\( T \)[/tex] when [tex]\( h = 2 \)[/tex].

1. Substitute [tex]\( h = 2 \)[/tex] into the function [tex]\( T \)[/tex].

[tex]\[ T = 18 \cdot 2 + 250 \][/tex]

2. Perform the multiplication first.

[tex]\[ T = 36 + 250 \][/tex]

3. Add the results from step 2.

[tex]\[ T = 286 \][/tex]

So, when [tex]\( h = 2 \)[/tex], [tex]\( T = 286 \)[/tex].

### (b) Find [tex]\( T \)[/tex] when [tex]\( h = 8 \)[/tex].

1. Substitute [tex]\( h = 8 \)[/tex] into the function [tex]\( T \)[/tex].

[tex]\[ T = 18 \cdot 8 + 250 \][/tex]

2. Perform the multiplication first.

[tex]\[ T = 144 + 250 \][/tex]

3. Add the results from step 2.

[tex]\[ T = 394 \][/tex]

So, when [tex]\( h = 8 \)[/tex], [tex]\( T = 394 \)[/tex].

### Summary:
- When [tex]\( h = 2 \)[/tex], [tex]\( T = 286 \)[/tex].
- When [tex]\( h = 8 \)[/tex], [tex]\( T = 394 \)[/tex].
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