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South Seminole Middle School wants to make $4,740 from yearbooks. Print yearbooks x cost $60 and digital yearbooks y cost $15. This can be represented by the function 60x + 15y = 4,740. Find the x- and y-intercepts. Interpret the x- and y-intercepts.

 Dec 4, 2015

Best Answer 

 #1
avatar+26400 
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South Seminole Middle School wants to make $4,740 from yearbooks. Print yearbooks x cost $60 and digital yearbooks y cost $15. This can be represented by the function 60x + 15y = 4,740. Find the x- and y-intercepts. Interpret the x- and y-intercepts.

 

x = print yearbooks

y = digital yearbooks

 

\(\begin{array}{rcll} 60x + 15y &=& 4740 \qquad & | \qquad -60x\\ 15y &=& -60x + 4740 \qquad & | \qquad :15 \\ y & = & -4x +316 \\ \end{array}\)

 

The line is  \( \begin{array}{rcll} \mathbf{y} & \mathbf{=} & \mathbf{-4x +316} \\ \end{array} \)

 

\(\boxed{~ \text{y-intercept ?} \quad x=0\\ \begin{array}{rcll} \hline y_{\text{intercept}} & = & -4\cdot 0 +316 \\ y_{\text{intercept}} & = & 316 \\ \hline \end{array}\\ 316 \text{ digital yearbooks, no print yearbooks} ~}\)

 

\(\boxed{~ \text{x-intercept ? } \quad y=0\\ \begin{array}{rcll} \hline 0 & = & -4\cdot x_\text{intercept} +316 \qquad & | \qquad +4\cdot x_\text{intercept}\\ 4\cdot x_\text{intercept} & = & 316 \qquad & | \qquad :4\\ x_\text{intercept} & = & 79\\ \hline \end{array}\\ 79 \text{ print yearbooks, no digital yearbooks} ~}\)

 

laugh

 Dec 4, 2015
edited by heureka  Dec 4, 2015
edited by heureka  Dec 4, 2015
edited by heureka  Dec 4, 2015
edited by heureka  Dec 4, 2015
edited by heureka  Dec 4, 2015
edited by heureka  Dec 4, 2015
 #1
avatar+26400 
+35
Best Answer

South Seminole Middle School wants to make $4,740 from yearbooks. Print yearbooks x cost $60 and digital yearbooks y cost $15. This can be represented by the function 60x + 15y = 4,740. Find the x- and y-intercepts. Interpret the x- and y-intercepts.

 

x = print yearbooks

y = digital yearbooks

 

\(\begin{array}{rcll} 60x + 15y &=& 4740 \qquad & | \qquad -60x\\ 15y &=& -60x + 4740 \qquad & | \qquad :15 \\ y & = & -4x +316 \\ \end{array}\)

 

The line is  \( \begin{array}{rcll} \mathbf{y} & \mathbf{=} & \mathbf{-4x +316} \\ \end{array} \)

 

\(\boxed{~ \text{y-intercept ?} \quad x=0\\ \begin{array}{rcll} \hline y_{\text{intercept}} & = & -4\cdot 0 +316 \\ y_{\text{intercept}} & = & 316 \\ \hline \end{array}\\ 316 \text{ digital yearbooks, no print yearbooks} ~}\)

 

\(\boxed{~ \text{x-intercept ? } \quad y=0\\ \begin{array}{rcll} \hline 0 & = & -4\cdot x_\text{intercept} +316 \qquad & | \qquad +4\cdot x_\text{intercept}\\ 4\cdot x_\text{intercept} & = & 316 \qquad & | \qquad :4\\ x_\text{intercept} & = & 79\\ \hline \end{array}\\ 79 \text{ print yearbooks, no digital yearbooks} ~}\)

 

laugh

heureka Dec 4, 2015
edited by heureka  Dec 4, 2015
edited by heureka  Dec 4, 2015
edited by heureka  Dec 4, 2015
edited by heureka  Dec 4, 2015
edited by heureka  Dec 4, 2015
edited by heureka  Dec 4, 2015

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