Question
Grapes cost $7.55 per pound. Evan wants to buy 4.8 pounds of grapes, and he estimates that he will need $32 to buy the 4.8 pounds of grapes. Which statement about Evan’s estimate is true?
Evan rounded 4.8 down to 4. His estimate of $32 is too low.
Evan rounded both factors up. He has enough money to buy the grapes.
Evan rounded $7.55 up to 8. His estimate of $32 is too high.
Evan incorrectly multiplied $8 and 4. His estimate should be $36.
Evan rounded 4.8 down to 4. His estimate of $32 is too low.
Evan rounded both factors up. He has enough money to buy the grapes.
Evan rounded $7.55 up to 8. His estimate of $32 is too high.
Evan incorrectly multiplied $8 and 4. His estimate should be $36.
Answers
GPT-4o mini
To find the cost of 4.8 pounds of grapes at $7.55 per pound, we multiply:
\[
4.8 \text{ pounds} \times 7.55 \text{ dollars/pound} = 36.24 \text{ dollars}
\]
Now let's evaluate Evan's estimate of $32:
1. **Evan rounded 4.8 down to 4. His estimate of $32 is too low.**
This statement is true because if he rounded down, he would multiply $7.55 by 4, which would result in $30.20, confirming that $32 is too low.
2. **Evan rounded both factors up. He has enough money to buy the grapes.**
This is not true. He did not round both factors up; he rounded one down. Even if he rounded factors up (assuming he considered $8), that would yield an estimate of $32, but the actual cost is more.
3. **Evan rounded $7.55 up to $8. His estimate of $32 is too high.**
He didn't actually take into account $7.55 being rounded up, and his estimate of $32 is low, not high.
4. **Evan incorrectly multiplied $8 and 4. His estimate should be $36.**
This is erroneous. He didn't use $8 in his multiplication based on the problem stated, and even if he had, $8 multiplied by 4 gives $32, not $36.
Therefore, the correct statement about Evan's estimate is:
**Evan rounded 4.8 down to 4. His estimate of $32 is too low.**
\[
4.8 \text{ pounds} \times 7.55 \text{ dollars/pound} = 36.24 \text{ dollars}
\]
Now let's evaluate Evan's estimate of $32:
1. **Evan rounded 4.8 down to 4. His estimate of $32 is too low.**
This statement is true because if he rounded down, he would multiply $7.55 by 4, which would result in $30.20, confirming that $32 is too low.
2. **Evan rounded both factors up. He has enough money to buy the grapes.**
This is not true. He did not round both factors up; he rounded one down. Even if he rounded factors up (assuming he considered $8), that would yield an estimate of $32, but the actual cost is more.
3. **Evan rounded $7.55 up to $8. His estimate of $32 is too high.**
He didn't actually take into account $7.55 being rounded up, and his estimate of $32 is low, not high.
4. **Evan incorrectly multiplied $8 and 4. His estimate should be $36.**
This is erroneous. He didn't use $8 in his multiplication based on the problem stated, and even if he had, $8 multiplied by 4 gives $32, not $36.
Therefore, the correct statement about Evan's estimate is:
**Evan rounded 4.8 down to 4. His estimate of $32 is too low.**