The profits for a clothing store were $36, 000 in 2010 and $56, 000 in 2015. Assume that the...
Question:
The profits for a clothing store were $36, 000 in 2010 and $56, 000 in 2015. Assume that the profit can be approximated with a linear function (i.e. with a straight line).
(a) Letting {eq}x = 0
{/eq} correspond to the year 2010, write the linear profit function {eq}P = mx + b
{/eq}.
(b) What is the first year in which the profits exceed $76, 000?
Linear Functions:
A linear function is defined as a polynomial function of x where the maximum power of x is only one. Thus the function is a straight line, and can be written as {eq}y = mx + b {/eq} where m is the slope of the line and b is the y-intercept.
Answer and Explanation: 1
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View this answerThe linear profit function will take the form of {eq}P(x) = mx + b {/eq}.
where x is in years and {eq}x = 0 {/eq} corresponds to the year 2010.
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What is a linear function? In this lesson, learn the definition of a linear function through explanations and examples. Also, learn how to graph a linear equation, identify a linear equation from an equation or graph, and, finally, learn the different properties of linear equations.
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