Question
a horse trainer has 42 horse treats she needs five treats per horse which equation shows the numver of horses H that she can train is the solution viable or nonviable
Answers
GPT-4o mini
To find the number of horses \( H \) that the trainer can train, we can set up the equation based on the information given.
The trainer has 42 horse treats, and she needs 5 treats per horse. The relationship can be expressed as:
\[
5H \leq 42
\]
This equation indicates that the total number of treats needed for \( H \) horses (which is \( 5H \)) must be less than or equal to the number of treats she has (42).
To solve for \( H \):
\[
H \leq \frac{42}{5}
\]
\[
H \leq 8.4
\]
Since \( H \) must be a whole number (you can't have a fraction of a horse), the maximum viable value for \( H \) is 8. Thus the only viable solution in terms of whole horses is:
\[
H = 8
\]
The nonviable solution would be any value greater than 8, as it would require more treats than are available. Therefore, the relationship is viable for \( H \) values from 0 to 8, and nonviable for any value exceeding 8.
The trainer has 42 horse treats, and she needs 5 treats per horse. The relationship can be expressed as:
\[
5H \leq 42
\]
This equation indicates that the total number of treats needed for \( H \) horses (which is \( 5H \)) must be less than or equal to the number of treats she has (42).
To solve for \( H \):
\[
H \leq \frac{42}{5}
\]
\[
H \leq 8.4
\]
Since \( H \) must be a whole number (you can't have a fraction of a horse), the maximum viable value for \( H \) is 8. Thus the only viable solution in terms of whole horses is:
\[
H = 8
\]
The nonviable solution would be any value greater than 8, as it would require more treats than are available. Therefore, the relationship is viable for \( H \) values from 0 to 8, and nonviable for any value exceeding 8.