an oven is being preheated. as the oven heats up, its temperature (in °c) after x minutes can be modeled…
an oven is being preheated. as the oven heats up, its temperature (in °c) after x minutes can be modeled with an exponential function. the graph of this function is shown below. use the model to answer the parts to the right. (a) what is the initial temperature of the oven? °c the initial temperature is represented by the (choose one) of the graph. (b) for the first 10 minutes, as time increases, the temperature (choose one). (c) give the equation of the asymptote. y = choose the statement that best describes the meaning of the asymptote. the temperature of the oven does not rise above 80°c. the temperature of the oven does not fall below 20°c. the oven cannot be on for more than 20 minutes.
Answer
Explanation:
Step1: Find initial temperature
The initial temperature is when (x = 0). From the graph, when (x=0), (y = 20). The initial - temperature is represented by the (y) - intercept of the graph.
Step2: Analyze temperature change
For the first 10 minutes, as (x) (time) increases, looking at the graph, the value of (y) (temperature) increases.
Step3: Determine asymptote
The horizontal asymptote of the graph is (y = 80). This means the temperature of the oven does not rise above (80^{\circ}C).
Answer:
(a) 20; (y) - intercept (b) increases (c) 80; The temperature of the oven does not rise above (80^{\circ}C).