Which of the following can be modeled with an exponential function? select all that apply.
height over time that a football is thrown across the field.
the cost to attend universal studios increases by 1% each year.
an endangered species population is decreasing by 12% each year.
the distance a bicyclist travels when cycling a constant speed of 25 mph.
the population of a town that is growing by 5% each year.

The answers are

(ii) The cost to attend Universal Studios increases by 1% each year,

(iii) An endangered species population is decreasing by 12% each year,

(iv) The population of a town that is growing by 5% each year.

Step-by-step explanation:  We are given five functions and we are to select those which can be modelled with an exponential function.

(i) Here, height is varying with respect to time, so it will be a linear function.

(ii) Here, the cost to attend Universal Studios is increasing by 1% every year, so this will be an exponential function.

(iii) Here, an endangered species population is decreasing by 12% each year.

So, this will also be an exponential function.

(iv) Since we are considering the distance travelled by the bicycle at a constant speed of 25 mph, so this will be a linear function.

(v) Here also the population is growing by 5% each year. So, the function will be exponential.

Thus, the correct answer is second, third and fifth.

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

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}

step-by-step explanation:

2/3

step-by-step explanation: