Problema Solution

sales of a toy company increased linearly from $25,000 in 2000 to $40,000 in 2005. Write a linear equation that relates the sales y in year s where x=0 corresponds to 2000.

Answer provided by our tutors

let


y=kx + b, where k and b are constants


for x = 0 (corresponds to 2000), y = $25,000


25,000 = k*0 + b


b = 25,000


y=kx + 25,000


for x = 5 (corresponds to 2005 - 2000 = 5) we have y = $40,000


40000 = k*5 + 25000


by solving for k we find:


k = 3000


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the linear equation is:


y = 3000x + 25000.