question archive A farmer finds there is a linear relationship between the number of bean stalks, n, she plants and the yield, y, each plant produces
A farmer finds there is a linear relationship between the number of bean stalks, n, she plants and the yield, y, each plant produces
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A farmer finds there is a linear relationship between the number of bean stalks, n, she plants and the yield, y, each plant produces. When she plants 30 stalks, each plant yields 30 oz of beans. When she plants 34 stalks, each plant produces 28 oz of beans.
a. Find a linear relationship in the form y = mn + b that gives the yield when n stalks are planted.
b. Write the numeric equation for x is 30 stalks. Note y is the total yield, or the number of
stalks time yield per stalk. m and b will be unknown.
c. Write the numeric equations for x is 34 stalks, m and be will be unknown.
d. Use the two equations to find m and b.
e. Write the equation using y and x and including the values for m and b.
