Question
Creating One-Variable Equations & Inequalities Quick Check
5 of 55 of 5 Items
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.
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 nonviable.
5 h equals 42 , so h equals 8.4 horses, which is nonviable.
5h=42
, so h=8.4
horses, which is viable.
5 of 55 of 5 Items
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.
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 nonviable.
5 h equals 42 , so h equals 8.4 horses, which is nonviable.
5h=42
, so h=8.4
horses, which is viable.
Answers
GPT-4o mini
To determine the correct equation and its viability, we need to analyze the problem and set up the equation accordingly.
The trainer has 42 horse treats and needs 5 treats per horse. Therefore, the equation can be set up as:
\[
5h = 42
\]
This equation means that if \(h\) is the number of horses, then the total number of treats used (5 treats per horse times the number of horses) equals 42.
Now, let's solve for \(h\):
\[
h = \frac{42}{5} = 8.4
\]
Since you can't train a fraction of a horse, \(h = 8.4\) indicates that she cannot train a whole number of horses with exactly 42 treats, making this solution nonviable.
Therefore, the correct response is:
**5h = 42, so h = 8.4 horses, which is nonviable.**
The trainer has 42 horse treats and needs 5 treats per horse. Therefore, the equation can be set up as:
\[
5h = 42
\]
This equation means that if \(h\) is the number of horses, then the total number of treats used (5 treats per horse times the number of horses) equals 42.
Now, let's solve for \(h\):
\[
h = \frac{42}{5} = 8.4
\]
Since you can't train a fraction of a horse, \(h = 8.4\) indicates that she cannot train a whole number of horses with exactly 42 treats, making this solution nonviable.
Therefore, the correct response is:
**5h = 42, so h = 8.4 horses, which is nonviable.**