QUESTION IMAGE
Question
fill in the blanks below
- the formula ( c = 20 + 15f ) represents the amount of ( c ) (in dollars) it will cost you for a one - time printing service of ( f ) flyers. answer the following questions
the independent variable is
the dependent variable is
- using the previous question (6), answer the questions below
graph the function above on the graph below. on paper,
interpret the slope of the graph
interpret the y - intercept of the graph
Step1: Identify the linear function form
The general form of a linear function is \(y = mx + b\), where \(m\) is the slope and \(b\) is the \(y -\)intercept. In the function \(c = 15x+20\), \(x\) represents the number of flyers (independent variable) and \(c\) represents the total cost (dependent variable).
Step2: Interpret the slope
The slope \(m = 15\). In the context of the problem, for each additional flyer (\(x\) increases by \(1\)), the total cost \(c\) increases by \(15\). So the slope means the cost per flyer is \(\$15\).
Step3: Interpret the \(y -\)intercept
The \(y -\)intercept \(b = 20\). When \(x = 0\) (i.e., no flyers are ordered), the cost \(c=20\). So the \(y -\)intercept represents a fixed additional fee of \(\$20\).
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The slope of the graph means the cost per flyer is \(\$15\). The \(y -\)intercept of the graph represents a fixed additional fee of \(\$20\).