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Thaddeus models the number of hours of daylight in his town as
d(t) = 2sin(xt) + 12, where dis the number of daylight hours and tis the
time in months since january 1.
what are the least and greatest numbers of daylight hours over the course of
a year?
a. least: 10 hours; greatest: 14 hours
b. least: 6 hours; greatest: 12 hours
c. least: 2 hours; greatest: 12 hours
o d. least: 7 hours; greatest: 14 hours
submit

Respuesta :

tushargupta0691

Option (A) :  least: 10 hours; greatest: 14 hours

The function f(x) = sin x has all real numbers in its domain, but its range is

−1 ≤ sin x ≤ 1.

How to solve such range questions?

Such questions in which every term is in addition and its range is asked is simplest ones to solve if we know the range of each of term. This can be seen from this question

Given: d(t) = 2sin(xt) + 12

=  −1 ≤ sin (xt) ≤ 1.

=  −2≤ 2 sin (xt) ≤ 2.

=  10 ≤ 2sin (xt) + 12 ≤ 14

=   10 ≤d(t) ≤ 14

Thus  least: 10 hours; greatest: 14 hours

Learn more about range of trigonometric ratios here :

https://brainly.com/question/14304883

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