Question

A horse trainer has 42 horse treats. She needs five treats per horse. Which equation shows the number of horses, h, that she can train, and is the solution viable or nonviable?(1 point)
Responses

h5=42
, so h=210
, which is nonviable.
Start Fraction h over 5 End Fraction equals 42 , so h equals 210 , which is nonviable.

5h=42
, so h=8.4
horses, which is nonviable.
5 h equals 42 , so h equals 8.4 horses, which is nonviable.

h−5=42
, so h=47
, which is not viable.
h minus 5 equals 42 , so h equals 47 , which is not viable.

5h=42
, so h=8.4
horses, which is viable.

Answer 1

To determine the correct equation that shows the number of horses, \( h \), that the trainer can train, we need to consider the number of horse treats required per horse and the total number of treats available.

Since the trainer has 42 treats and needs 5 treats per horse, the relationship can be expressed with the equation:

\[
5h = 42
\]

To solve for \( h \):
\[
h = \frac{42}{5} = 8.4
\]

The outcome, \( h = 8.4 \), indicates that the trainer can provide 5 treats to 8 horses completely, but 0.4 of a horse cannot be trained. Thus, you cannot have a fraction of a horse trained, which makes the solution nonviable in the practical sense (because you cannot train a partial horse).

Based on the provided response options, the correct option is:

**5h = 42, so h = 8.4 horses, which is nonviable.**