Question

the line
q(p)=ap + b
(where a and b are constants) describes the quantity of flour sold when its price is $p per kg, for 1 ≤ p ≤ 5. how would you interpret the scenario if a = 0?
when the price of flour is one dollar per kg, people will buy no flour.
people will buy more flour when the price is more expensive
people will buy more flour when the price is cheaper.
fluctuations in the price of flour (within the given domain) dont affect how much of it people buy.
the line
p(n)=an + b
(where a and b are constants) describes the percentage of the sea - floor in a certain area that is covered in kelp two years after introducing otters to the area, when the number of otters introduced to area is n. suppose a > 0. which interpretation makes the most sense?
sea otters eat sea urchins, and kelp needs sea urchins in order to reproduce.
sea otters eat sea urchins, and sea urchins eat kelp.
sea otter populations have no impact on kelp cover.
sea otters eat kelp.
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Explanation:

1. For the first - part, the equation is $q(p)=ap + b$. When $a = 0$, the equation becomes $q(p)=b$, which means the quantity $q$ of flour sold is a constant regardless of the price $p$ (within the domain $1\leq p\leq5$). So, fluctuations in the price of flour (within the given domain) don't affect how much of it people buy.
2. For the second - part, the equation $p(n)=an + b$ represents the percentage of the sea - floor covered in kelp two years after introducing otters, where $n$ is the number of otters. If $a>0$, it means as the number of otters $n$ increases, the percentage of the sea - floor covered in kelp $p(n)$ increases. Since sea otters eat sea urchins and sea urchins eat kelp, more otters mean fewer sea urchins, and thus more kelp.

Answer:

1. Fluctuations in the price of flour (within the given domain) don't affect how much of it people buy.
2. Sea otters eat sea urchins, and sea urchins eat kelp.