1.
From the graph given us, the point of intersection of the 2 linear functions is where the salaries are equal.
We will find that to be Year 5
Therefore. at Year 5, both basketball & baseball players earn an equal salary of about $350,000
2.
The y-intercept refers to the point that the straight line touches the y-axis & is given by:
[tex]\begin{gathered} ForBasketballPlayers\colon \\ y-intercept=90 \\ \\ ForBaseballPlayers\colon \\ y-intercept=150 \end{gathered}[/tex]
We will proceed to obtain the equation for the functions as shown below:
[tex]\begin{gathered} y=mx+b------------1 \\ m=\frac{y_2-y_1}{x_2-x_!}-----------2 \\ where\colon m=slope,b=y-intercept \\ \\ \text{For Basketball Players: we have these points lying on the straight line:} \\ (x,y)=\mleft(0,90\mright),(5,350) \\ m=\frac{350-90}{5-0}=\frac{260}{5}=52 \\ m=52 \\ \text{Substitute the value of ''m'' into equation 1, we have:} \\ y=52x+90 \\ \\ \text{For Baseball Players: we have these points lying on the straight line:} \\ (x,y)=(0,150),(5,350) \\ m=\frac{350-150}{5-0}=\frac{200}{5}=40 \\ m=40 \\ \text{Substitute the value of ''m'' into equation 1, we have:} \\ y=40x+150 \end{gathered}[/tex]
Therefore,
For basketball players, the equation is: y = 52x + 90
For baseball players, the equation is: y = 40x + 150
3.
A = (46, 2000)
B = (37, 2000)
4.
The average Basketball player salary is $8.2 million as compared to that of $2 million from here
The average Baseball player salary is $4.17 million as compared to that of $2 million from here
Hence, the average Basketball player salary is 4 times larger than that we have here & the average Baseball player salary is 2 times larger than that we have here
5.
The average salary of Football players is $860,000 which is about 10 times smaller than that of the average Basketball player & about 5 times smaller than that of an average Baseball player
