Question 4

Question

A)Solve using division of rational numbers. If a car’s value decreases by $4,000 in the first 12 months, how much does the value decrease per month? (Round to the nearest hundredth.)(1 point)
Responses

−$333.33
negative 333.33 dollars

$333.33
$333.33

0.003
0.003

−0.003
negative 0.003
Question 5
A)It is recommended that hikers drink 24 ounces of water an hour. If a canteen has 24 ounces of water, how much should the amount of water in the canteen change every 10 minutes?(1 point)
Responses

−4 ounces
negative 4 ounces

4 ounces
4 ounces

0.4 ounces
0.4 ounces

−0.4 ounces

Answer 1

Question 4:
To find the monthly decrease in the car's value, you divide the total decrease by the total number of months:

\[ \text{Monthly decrease} = \frac{\text{Total decrease}}{\text{Number of months}} = \frac{-4000}{12} \approx -333.33 \]

So the correct answer is: −$333.33

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Question 5:
First, you need to determine how much water should be consumed in a 10-minute interval. Since there are 60 minutes in an hour and hikers should drink 24 ounces of water in an hour:

\[ \text{Water consumed in 10 minutes} = \frac{24 \text{ ounces}}{60 \text{ minutes}} \times 10 \text{ minutes} = 4 \text{ ounces} \]

Since the amount of water in the canteen decreases, the answer would be negative:

So the correct answer is: −4 ounces