Question

This graph shows the temperature of a room over time. How many °F does the temperature of the room increase by every 1 min? Enter your answer in the box. °F

Answer 1

Solution:

Graph of temperature of a room(°F) and time(T) is given in the graph.

When Time increases temperature of a room also increases.

It means time is in directly proportional to temperature.

We can Find  equation of line using two point slope formula.

The line passes through (0,65) and (20,75).

X coordinate = Time, Y coordinate = Temperature

Equation of line passing through $(x_{1}, y_{1}) {\text{and} (x_{2},y_{2}) {\text{is given by} = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{y-y_{1}}{x-x_{1}}$

Equation of line passing through (0,65) and (20,75) is given as:

⇒ $\frac{y-65}{x-0}=\frac{75-65}{20-0}\\\\2 y -130=x\\\\ x -2 y +130=0$

When t=1 i.e x=1

1 - 2 y + 130 = 0

2 y = 131

y = 65.5°F

The temperature increases by 0.5° C with every increase of time by 1 minute.

Answer 2

The real answer is 0.5, trust me I just took the quiz. Hope I helped.