Question

What is the net change in the temperature relative to when lko woke up

Answer 1

Complete question:

Between the time iko woke up and lunchtime, the temperature rose by 11°. Then by the time he went to bed, the temperature dropped by 14°.

What is the net change in the temperature relative to when lko woke up?

Answer:

The net change in the temperature relative to when lko woke up =

`\bold{-3}` °

Explanation:

Given that between his wake up time and lunch time, temperature rose by 11°. Let the new temperature be
`\bold{T1}` and let the initial temperature(temperature before wakeup time) be
`\bold{T}`

Since the temperature rose by 11°, the new temperature after Iko woke up, T1, would be derived by adding 11° to the initial temperature.

i.e, T1 = T + 11......................(1)

At bed time the temperature dropped by 14°. Therefore, the temperature would now be 14 less than the new temperature T1. It is expressed as:

T1 + (-14).......................... (2)

Let's substitute T + 11 for T1 in equation 2, we have:

T + 11 + (-14)

To find the expression for the net change in temperature, let's subtract the initial temperature T, from (T+11 -14) i.e,

ΔT = (T + 11 - 14) - T

Solving further, we have:

ΔT = T - T + 11 - 14

ΔT = 11 - 14

ΔT = -3°

Therefore, the net change in the temperature relative to when lko woke up is = -3°