On Dolphin Beach, the high tide is 1.8 meters and only occurs at 12 a. m. and 12 p. m. The low tide is 0.4 meter and only occurs at 6 a. m. and 6 p. m.

Which function models the height of the tide t hours after 12 a. m.?

h(t)=0.7sin(πt/6)+1.1

h(t)=1.1sin(πt/3)+0.7

h(t)=0.7cos(πt/6)+1.1

h(t)=1.8cos(πt/3)+0.4

answer is 144

step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

it would have to be 3/0