Question

(Is This Correct?)
Suraj took a slice of pizza from the freezer and put it in the oven. The oven heated the pizza at a rate of 7.5∘ Celsius per minute, and it reached the desired temperature of 80∘ Celsius after 12 minutes.
Graph the relationship between the pizza's temperature (in degrees Celsius) and time (in minutes).

Answer 1

Hello guys Namaste,

For this case, what we are going to do is write a linear equation of the form:

 T = 7.5 * x -10

 Where.

 7.5: heating speed of the pizza.

 -10: initial temperature.

 x: time in minutes.

 For x = 12 we have:

 T = 7.5 * (12) -10

 T = 90-10

 T = 80

 Therefore the equation is correct.

Answer:

 T = 7.5 * x -10

Yes, It is correct.

Answer 2

Answer:

The required graph for the relationship between the pizza's temperature (in degree Celsius) and the time taken (in minutes) is found to be as shown in the attached figure.

Step-by-step explanation:

We are given that the rate of change of temperature of pizza as 7.5 °C per minute. Also, we have to make the graph of pizza's temperature (y-axis) versus the time taken to reach that temperature (x-axis).

Thus, we can say that the rate of change of temperature of pizza will be the slope of the required graph.

The general form for the straight line's equation is: y = mx + c

where m is the slope and c is the y-intercept of the equation.

We are given the temperature of pizza at 12 minutes to be 80 °C, thus giving us a coordinate point of (12,80). Substituting this in general equation along with the slope, we get:

80 = 12(7.5) + c

or we can say:

c = 80 - 90

which gives us:

c = -10

Now, we have two points required for the sketching of the graph between the temperature of pizza versus the time taken as (0,-10) and (12,80).

This gives us a graph as follows (refer to the attached figure):