7. The graph shows the amount of a medicine m, in milligrams, remaining in a patient's body h hours after receiving an injection. The amount of the
medicine decreases exponentially.
A(0,270)
250
200
(poq unup Jo Sw)
150
100
(1.5, 80)
SO
0.5
2.5
h (hours since injection)
a. By what factor did the medicine decrease in the first hour and a
half? Explain how you know.
b. By what factor did the medicine decrease in the first half hour?
What about in the first hour? Explain how you know.

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46.2+112.3

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