Given data:
The expression for Marry Ann earning is y = 6x + 10.
The Graph for Carlos earning is shown.
A)
Substitute 3 for x in the Marry Ann earning.
[tex]\begin{gathered} y=6(3)+10 \\ =28 \end{gathered}[/tex]Carlos earning after 3 hours is $26.
Thus, Marry Ann earn more money than Carlos after 3 hours.
B)
The expression for the equation of the line passing through (0, 2) and (3, 26) is,
[tex]\begin{gathered} y-2=\frac{26-2}{3-0}(x-0) \\ y-2=\frac{24}{3}x \\ y=8x+2 \end{gathered}[/tex]Equate both the equations.
[tex]\begin{gathered} 6x+10=8x+2 \\ 6x-8x=2-10 \\ -2x=-8 \\ x=4 \end{gathered}[/tex]Thus, after 4 hours both Marry Ann and Carlon have same amount of money.
