Answer:
A
Step-by-step explanation:
You are given the table
[tex]\begin{array}{cc}\text{Time}&\text{Water}\\x&f(x)\\0&35\\1&30\\2&25\\3&20\\4&15\end{array}[/tex]
This table represents a linear relationship between time and water leaked, because
[tex]\dfrac{30-35}{1-0}=\dfrac{25-30}{2-1}=\dfrac{20-25}{3-2}=\dfrac{15-20}{4-3}[/tex]
The linear function has the equation
[tex]f(x)=mx+b[/tex]
Find m and b:
[tex]f(0)=35\Rightarrow 35=m\cdot 0+b,\ b=35\\ \\f(1)=30\Rightarrow 30=m\cdot 1+b,\ 30=m+35,\ m=-5[/tex]
So,
[tex]f(x)=-5x+35[/tex]
Find the x-intercept:
[tex]f(x)=0\Rightarrow -5x+35=0\\ \\5x=35\\ \\x=7[/tex]
Hence, point (7,0) is x-intercept with the meaning x=7 is the time it takes to empty the water in the pool
