Question
Mika’s gym allows her to bring 3 guests for free. After the first three, she must pay $7 per guest. How many guests, g, can she bring to the gym if she pays $42?
Three of these equations give the correct value of g. Which equation does NOT?
Three of these equations give the correct value of g. Which equation does NOT?
Answers
GPT 3.5
Let's define the equation that represents the scenario:
Total cost = $7 per guest × number of additional guests
If Mika pays $42, it means she has exceeded the 3 free guests, so she must have brought additional guests.
To find the number of additional guests (g), we divide the total cost by $7 per guest and subtract 3 (since the first 3 guests are free):
g = (Total cost / $7 per guest) - 3
Plugging in the given values:
g = ($42 / $7 per guest) - 3
g = 6 - 3
g = 3
So, Mika can bring 3 additional guests to the gym if she pays $42.
To check which equation does NOT give the correct value of g, let's substitute the values from each equation:
1) g = ($42 / 7) - 3
g = 6 - 3
g = 3
2) g = ($42 - 7) / 3
g = 35 / 3
g ≈ 11.67 ≈ 12
3) g = 42 / 7 - 3
g = 6 - 3
g = 3
So, equation 2) does NOT give the correct value of g.
Total cost = $7 per guest × number of additional guests
If Mika pays $42, it means she has exceeded the 3 free guests, so she must have brought additional guests.
To find the number of additional guests (g), we divide the total cost by $7 per guest and subtract 3 (since the first 3 guests are free):
g = (Total cost / $7 per guest) - 3
Plugging in the given values:
g = ($42 / $7 per guest) - 3
g = 6 - 3
g = 3
So, Mika can bring 3 additional guests to the gym if she pays $42.
To check which equation does NOT give the correct value of g, let's substitute the values from each equation:
1) g = ($42 / 7) - 3
g = 6 - 3
g = 3
2) g = ($42 - 7) / 3
g = 35 / 3
g ≈ 11.67 ≈ 12
3) g = 42 / 7 - 3
g = 6 - 3
g = 3
So, equation 2) does NOT give the correct value of g.