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Question
a single - engine plane can travel up to 140 miles per hour. the total number of miles it travels is represented by the function ( m = 140h ), where ( h ) is the number of hours traveled. determine appropriate input values for this situation. then complete the function table for ( m = 140h ). (example 2)
| input, ( h ) | output, ( m ) |
|---|---|
Step1: Choose input values for h
Since \( h \) represents the number of hours traveled, we can choose non - negative real numbers (usually we start with simple non - negative integers like \( h = 0,1,2,3 \) as appropriate input values in a real - world context of time).
Step2: Calculate m for each h
- When \( h = 0 \):
Using the formula \( m=140h \), substitute \( h = 0 \) into the formula. We get \( m = 140\times0=0 \).
- When \( h = 1 \):
Substitute \( h = 1 \) into \( m = 140h \). Then \( m=140\times1 = 140 \).
- When \( h = 2 \):
Substitute \( h = 2 \) into \( m = 140h \). Then \( m = 140\times2=280 \).
- When \( h = 3 \):
Substitute \( h = 3 \) into \( m = 140h \). Then \( m=140\times3 = 420 \).
| Input, \( h \) | Output, \( m \) |
|---|---|
| 1 | 140 |
| 2 | 280 |
| 3 | 420 |
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Appropriate input values for \( h \) are non - negative real numbers (e.g., \( h = 0,1,2,3 \)). The completed table is as above.