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# why is it always me

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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

Jan 4, 2019

### 4+0 Answers

#1
+5225
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$$\text{you only have 2 data points so we're talking a line}\\ p(w)= m w + p_0\\ m=\dfrac{42-57}{11-6} = -\dfrac{15}{5}=-3\\ 42 = -3(11)+p_0 \\ p_0 = 42+33 = 75\\ p(w) = -3w+75\\ 0 = -3w + 75\\ 3w = 75\\ w=25\\ \text{25 weeks until Mimstoon is pibless}$$

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Jan 4, 2019
edited by Rom  Jan 4, 2019
#2
+18439
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Slight correction in Rom's last line

3w=75

w=25 weeks until pib-less.

Jan 4, 2019
#3
+102441
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Come on EP.

Don't you think our guest could have and should have made that correction for him/herself ?

OR they could have asked if it was an error if they were not sure.

How wonderful it would be if more of these question askers interacted with us.

Melody  Jan 4, 2019
#4
+18439
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Yep.  Maybe.... But maybe not.

ElectricPavlov  Jan 4, 2019