farmer mimstoon started with some pibs on her farm. she had 57 pibs after 6 weeks.after 11 weeks she had 42 pibs. whats the constant rate of change, whats the starting amount, write an equation for total pibs, y, after x weeks, and how many weeks will it take her to run out of pibs
\(\text{you only have 2 data points so we're talking a line}\\ p(w)= m w + p_0\\ m=\dfrac{42-57}{11-6} = -\dfrac{15}{5}=-3\\ 42 = -3(11)+p_0 \\ p_0 = 42+33 = 75\\ p(w) = -3w+75\\ 0 = -3w + 75\\ 3w = 75\\ w=25\\ \text{25 weeks until Mimstoon is pibless}\)
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