Problema Solution
the number of births(in thousands) in the US in 2000 was 4060. the number of birth(in thousands) in the US in 2004 was 4116.let x represent the number of year after 2000, and let y represent the number of births(in thousand).write an equation that models the number of births(in thousand) in term of x years after 2000.and estimate the number of birth in US for 2010.
Answer provided by our tutors
we will write a linear equation that models the number of births (in thousands) in terms of x years after 2000.
the information provided then gives the ordered pairs (0, 4060) and (4, 4116)
we write a linear equation that passes through the points (0, 4060) and (4, 4116).
to do so, we first find the slope of the line
m = (4116 - 4060)/(4 - 2)
m = 28
then using the point-slope form and the point to write the equation, we have
y - y1 = m(x - x1)
y - 4060 = 28(x - 2)
y = 28x + 4004
click here to see the step by step solution of the equation
the equation that models the number of births(in thousand) in term of x years after 2000 is:
y = 28x + 4004
the number of births in US for 2010 is
y = 28*10 + 4004
y = 4284