119k views
4 votes
The temperature in Reklaw is 70°F and is decreasing

at a rate of 2° per hour. The temperature in Sacul is
68°F and is decreasing at a rate of 1.5° per hour.
Find h, the number of hours until the temperature in
Sacul is the same as the temperature in Reklaw.

User SlashmanX
by
8.6k points

1 Answer

3 votes

Final answer:

To find the number of hours until the temperature in Sacul is the same as the temperature in Reklaw, you can set up a linear equation and solve for the time. In this case, it will take 4 hours for the temperature in Sacul to reach the same as the temperature in Reklaw.

Step-by-step explanation:

To find the number of hours until the temperature in Sacul is the same as the temperature in Reklaw, we need to set up an equation.

The temperature in Reklaw is 70°F and is decreasing at a rate of 2° per hour. This can be represented as a linear equation: R(t) = 70 - 2t, where R(t) is the temperature in Reklaw at time t.

The temperature in Sacul is 68°F and is decreasing at a rate of 1.5° per hour. This can be represented as a linear equation: S(t) = 68 - 1.5t, where S(t) is the temperature in Sacul at time t.

We want to find h, the number of hours until the temperature in Sacul is the same as the temperature in Reklaw. Therefore, we set the two equations equal to each other and solve for t: 70 - 2t = 68 - 1.5t.

Simplifying the equation, we get: 0.5t = 2.

Dividing both sides of the equation by 0.5, we find: t = 4.

Therefore, it will take 4 hours for the temperature in Sacul to reach the same as the temperature in Reklaw.

User Colla
by
8.1k points