Statements
case A) Sara had baked more cookies at the start of the [tex]5[/tex] hours than Liz
The statement is True
we know that
At the start of the [tex]5[/tex] hours Liz has baked [tex]220[/tex] cookies-----> see the graph
Find the number of cookies that Sara has baked for [tex]x=5[/tex] hours
[tex]y=45x+38[/tex]
[tex]y=45*5+38=263[/tex]
[tex]263 > 220[/tex]
therefore
Sara had baked more cookies at the start of the [tex]5[/tex] hours than Liz
case B) Sara bakes [tex]45[/tex] cookies each hour
The statement is True
we know that
The number of cookies baked each hour is equal to the slope of the linear equation
The linear equation is
[tex]y=45x+38[/tex]
The slope is [tex]m=45\frac{cookies}{hour}[/tex]
case C) Liz bakes [tex]19[/tex] cookies each hour
The statement is false
Find the slope of the Liz graph
The slope is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Let
[tex]A(0,19)\ B(4,179)[/tex]
Substitute the values
[tex]m=\frac{179-19}{4-0}[/tex]
[tex]m=40\frac{cookies}{hour}[/tex]
case D) Liz bakes more cookies each hour than Sara
The statement is False
Sara bakes [tex]45[/tex] cookies each hour
Liz bakes [tex]40[/tex] cookies each hour
