[Video] Q10: P(t)=250+10tthe population of snow leopards in a certain area can be modeled by the function p defined above, where p(t) is the population t years after 1990. of the following, which is the best interpretation of the equation p(30)=550?

Explanation for Question 10 From the Math (Calc) Section on the 2019 May Sat

So question 10 gives us this equation, 2 PFT equals 250 plus 10 T and asks the 3 population of snow leopards in a certain area. 4 It can be modeled by the function P defined above where PFT is the 5 population T years after 1990 of the following, 6 which is the best interpretation of the equation. 7 P 30 equals 550. 8 So let's dissect this equation and what that actually means. 9 So here we're told that PFT is the population 10 T years after 1990. 11 So that means five 50. If that's what P of T is equal to, 12 is the population population. 13 Now, the other part of this equation is P of 30. 14 What does that mean? Well, when you, 15 uh, replaced T in PFT with 30, 16 that means that T is equal to 30 in this equation. 17 So what this is saying is that when you plug in 30 for T, 18 so when this becomes two 50 plus 10 times 30, 19 that the answer is going to be five 50. 20 So let's see what T means T refers 21 to years after 1990. 22 So essentially what this means is 30 years after 1990, 23 when T equals 30, the population is going to be 550. 24 So that means in the year 2020, 25 cause that's 1990 plus 30, the population is predicted to be 550. 26 So the answer is C.

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