Answer:
The extra hours is 12 hours
Step-by-step explanation:
We are given
She has already saved up $50 for the dress
and this is equation of line
so, y-intercept is 50
[tex]b=50[/tex]
now, we can find slope
we can select any two points and then we can find slope
x1=0 , y1=50
x2=2 , y2=75
now, we can use formula
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
now, we can plug values
[tex]m=\frac{75-50}{2-0}[/tex]
[tex]m=\frac{25}{2}[/tex]
now, we can find equation
y=mx+b
[tex]y=\frac{25}{2}x+50[/tex]
we are given y=200
so, we can set it to 200 and then we can solve for x
[tex]200=\frac{25}{2}x+50[/tex]
[tex]\frac{25}{2}x=150[/tex]
[tex]25x=300[/tex]
[tex]x=12[/tex]
