Logan is solving this problem:

The cheetah ran 0.05 hours at a rate of 70 mph. How far did the cheetah run?

Logan solves the problem by writing:

What is wrong with Logan’s work?

(1 point)
Responses

Logan’s work is correct.
Logan’s work is correct.

Logan did not multiply the numbers.
Logan did not multiply the numbers.

Logan labeled his answer incorrectly. The correct label is feet.
Logan labeled his answer incorrectly. The correct label is feet.

Logan used the wrong formula. He should have used A = bh.

3 answers

Logan's work is correct. However, since the problem provided does not present any specific work or calculations from Logan, it's difficult to precisely evaluate his steps. The correct formula for distance (D) when you know the rate (R) and the time (T) is:

\[ D = R \times T \]

In this case, the cheetah ran for 0.05 hours at 70 mph. Thus:

\[ D = 70 , \text{mph} \times 0.05 , \text{hours} = 3.5 , \text{miles} \]

If he has correctly applied this, his calculations would be okay.

However, if there were erroneous labeling of the answer (as in, labeling it as something other than miles), then he might have made a mistake there.

Since I don't see Logan's actual calculations or steps, I cannot confirm if he missed a multiplication or made a labeling error. However, the correct response based on the options given is likely the first one, assuming he carried out the multiplication correctly. If he labeled his answer incorrectly without showing that specifically, then the answer might be the one about labeling.

For now, the most appropriate answer based on general understanding would be:

"Logan’s work is correct." (If he completed the multiplication correctly and labeled it properly). If you have his actual work, I could provide a more precise answer.

logans work
d = rt
d = 70.05miles

Thank you for providing Logan's work. Based on his calculations:

  1. The formula used is correct: He used \(d = rt\), which is the correct formula for calculating distance.

  2. The calculation is incorrect: Logan wrote \(d = 70.05\) miles, which is not correctly calculated. The correct calculation should look like this:

    \[ d = 70 , \text{mph} \times 0.05 , \text{hours} = 3.5 , \text{miles} \]

    So, he either made a mistake in the multiplication or misplaced the decimal point.

  3. Labeling: Even though Logan does not provide a label, the context of the problem suggests the answer should be in miles, not feet.

Based on the options you initially provided, the most suitable answer is:

Logan did not multiply the numbers.

This is because his final answer of \(70.05\) miles indicates a serious multiplication error.