Problema Solution
Suppose that 2.7 million ink pens are sold when the price is $2 per pen and 1.5 million ink pens are sold at $4 per pen. Assuming a linear relationship, find an equation that fits the data. Let n=the number of ink pens sold and p=the price per pen. Let p be the independent variable.
Answer provided by our tutors
Let
n=the number of ink pens (in millions) sold
p=the price per pen.
Assuming a linear relationship we can write
n = p*a + b, where a and b are constants that we need to find
n = 2.7 million ink pens, p = $2
2.7 = 2*a + b
n = 1.5 million ink pens, p = $2=4
1.5 = 4*a + b
by solving the system
2*a + b = 2.7
4*a + b = 1.5
we find
a = - 0.6
b = 3.9
click here to see the step by step solution of the system of equations
the linear equation for the number of ink pens sold and the price per pen is
n = - 0.6p + 3.9