Answer :
To determine the time it takes for Katy to reach the sea floor, we first find the total distance she needs to travel. The sea floor is at [tex]$104$[/tex] feet below sea level, and Katy is at [tex]$28$[/tex] feet below sea level. Therefore, the distance is
[tex]$$
104 - 28 = 76 \text{ feet}.
$$[/tex]
Since Katy is moving downward at a rate of [tex]$4$[/tex] feet per minute, the time required to travel this distance is given by
[tex]$$
\text{Time} = \frac{\text{Distance}}{\text{Rate}} = \frac{76}{4} = 19 \text{ minutes}.
$$[/tex]
Colin's calculation,
[tex]$$
104 - \frac{28}{4} = 104 - 7 = 97 \text{ minutes},
$$[/tex]
is incorrect because it applies the division operation to [tex]$28$[/tex] before performing the subtraction. The correct approach is to subtract first and then divide, as shown above.
Thus, the correct time for Katy to reach the sea floor is [tex]$19$[/tex] minutes.
[tex]$$
104 - 28 = 76 \text{ feet}.
$$[/tex]
Since Katy is moving downward at a rate of [tex]$4$[/tex] feet per minute, the time required to travel this distance is given by
[tex]$$
\text{Time} = \frac{\text{Distance}}{\text{Rate}} = \frac{76}{4} = 19 \text{ minutes}.
$$[/tex]
Colin's calculation,
[tex]$$
104 - \frac{28}{4} = 104 - 7 = 97 \text{ minutes},
$$[/tex]
is incorrect because it applies the division operation to [tex]$28$[/tex] before performing the subtraction. The correct approach is to subtract first and then divide, as shown above.
Thus, the correct time for Katy to reach the sea floor is [tex]$19$[/tex] minutes.