Homework Check
A scuba diver is descending at a rate of 15 3/4 feet per minute. What is the diver’s change in altitude after 4 minutes?
60 ft
–60 ft
63 ft
–63 ft******
Its -63.
-15.75(4) = -63
Agree
To calculate the diver's change in altitude after 4 minutes, we need to multiply the rate of descent (15 3/4 feet per minute) by the number of minutes (4).
First, we need to convert the mixed fraction into an improper fraction.
15 3/4 can be written as 15 + 3/4, which is equivalent to (15 * 4 + 3) / 4. This gives us 63/4.
So, the rate of descent is 63/4 feet per minute.
Next, we multiply this rate by the number of minutes (4):
(63/4) * 4 = 63 feet.
Therefore, the diver's change in altitude after 4 minutes is 63 ft.
To find the diver's change in altitude after 4 minutes, we need to multiply the rate of descent by the number of minutes.
The rate of descent is given as 15 3/4 feet per minute. This can be expressed as a mixed number: 15 3/4 = 15 + 3/4.
To multiply a mixed number, we multiply the whole number part by the number of minutes and add the product to the fractional part multiplied by the number of minutes.
15 * 4 = 60
3/4 * 4 = 3/4 * 4/1 = 12/4 = 3
Now, we add the whole number and the fractional part together: 60 + 3 = 63.
Therefore, the diver's change in altitude after 4 minutes is 63 feet.