Question

1. Josie is saving money to purchase a new pair of shoes. She has already saved $5 and earn $0.50 for each chore she completes. Graph the relationship between number of chores Josie completes and the total amount she will have saved. 28 o 2 A 10 12 14 16 18 20 What part of Josie's scenario represents the slope of the line you graphed? What part of Josie's scenario represents the y-intercept of the line you graphed?

Answer 1

Let's begin by listing out the given information:

Amount already saved = $5

Earning = $0.50 /chore

From this information, we will develop the equation below:

$y=5+0.5x$

We will graph this equation by the number of chores that Josie completes. We will look at how much she earns after completing 1 chore, 2 chores, 5 chores, 10 chores & 20 chores

$\begin{gathered} y=5+0.5x \\ 1chore\Rightarrow x=1 \\ y=5+0.5(1)=5+0.5=5.5 \\ (x,y)=(1,5.5) \\ \\ 2chores\Rightarrow x=2 \\ y=5+0.5(2)=5+1=6 \\ (x,y)=(2,6) \\ \\ 5chores\Rightarrow x=5 \\ y=5+0.5(5)=5+2.5=7.5 \\ (x,y)=(5,7.5) \\ \\ 10chores\Rightarrow x=10 \\ y=5+0.5(10)=5+5=10 \\ (x,y)=(10,10) \\ \\ 20chores\Rightarrow x=20 \\ y=5+0.5(20)=5+10=15 \\ (x,y)=(20,15) \end{gathered}$

We will use the coordinates obtained from the equation above to plot our graph