suraj took a slice of pizza from the freezer and put it in the oven. the oven heated the pizza at a rate of…

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 pizzas temperature (in degrees celsius) and time (in minutes).

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 pizzas temperature (in degrees celsius) and time (in minutes).

Answer

Explanation:

Step1: Find the initial temperature

We know the rate of heating is $7.5^{\circ}$C per minute and it reaches $80^{\circ}$C in 12 minutes. Using the formula $T = T_0+rt$ (where $T$ is final - temperature, $T_0$ is initial temperature, $r$ is rate of change, and $t$ is time), we can find $T_0$. Rearranging for $T_0$ gives $T_0=T - rt$. Substituting $T = 80$, $r = 7.5$, and $t = 12$: $T_0=80-7.5\times12$ $T_0=80 - 90=- 10^{\circ}$C.

Step2: Determine key points for graphing

The initial point is at $(0, - 10)$ (time = 0 minutes, temperature = - 10$^{\circ}$C) and the final point is at $(12,80)$ (time = 12 minutes, temperature = 80$^{\circ}$C). To graph:

  1. Mark the point $(0, - 10)$ on the graph. Since the y - axis starts from 10, we know that - 10 is 20 units below the 10 - mark on the y - axis.
  2. Mark the point $(12,80)$ on the graph.
  3. Draw a straight line connecting these two points. The line represents the linear relationship between the pizza's temperature and time.

The graph should have a straight - line starting at the point $(0, - 10)$ and ending at the point $(12,80)$ on a coordinate plane where the x - axis is labeled "Time (in minutes)" and the y - axis is labeled "Temperature (deg.Celsius)".

Answer:

Graph a straight line passing through the points $(0, - 10)$ and $(12,80)$ on a coordinate plane with x - axis as time (in minutes) and y - axis as temperature (in degrees Celsius).