Question

Which function is continuous? a. Number of children enrolled in a particular school as a function of time. c. Price of a stock as function of time. b. Outdoor temperature as a function of time. d. Cost of U.S. postage as a function of the weight of the letter.

Answer 1

B. Outdoor Temperature

Answer 2

Answer:

The function that is continuous is:

•    Outdoor temperature as a function of time.

Step-by-step explanation:

1)

Number of children enrolled in a particular school as a function of time.

This function is a discrete function.

Because the number of children are present as a whole number and hence will be discrete.

2)

Price of a stock as function of time.

As we know that the price of stock may vary differently sometimes it may be high and at the other time it may be low and hence the price of stocks are in dollars or cents.

    Hence, it is not continuous.

3)

Outdoor temperature as a function of time.

As we know that the temperature increase or decrease continuously since it may take any of the value.

        Hence, this function is continuous.

4)

Cost of U.S. postage as a function of the weight of the letter.

As we know that the cost of the postage is assigned in the intervals of the weight .

for example--

for any weight from 0-2 kg the cost of postage is $ 2

for any weight from 2-4 kg the cost of postage is: $ 4

and so on.

Hence, we see that the graph will not be continuous.