Answer:
Given statement: The number of gallons of water in the swimming pool x minutes after turning on the faucet is represented by :
[tex]y = 24x + 285[/tex] .....[1]
The equation of straight line is represented by [tex]y =mx+b[/tex] .....[2]
where
m represents the slope of line
and
b is the y-intercepts.
On comparing the equation [1] with [2] we get;
slope(m) = 24 and
y-intercept(b) = 285.
x-intercept defined as the graph crosses the x-axis i.e,
substitute the value of y =0 in [1] to solve for x;
0= 24x + 285
Subtract 285 from both sides we get;
-285 = 24x
Divide both sides by 24 we get;
[tex]x = -\frac{285}{24} = -11.875[/tex]
x = -11.875
(a)
y= 24x + 285 where x is in minute.
You can see the graph of the equation as shown below.
(b)
Slope of the equation = 24
y-intercepts = 285
(c)
Since, x intercept is not applicable to this problem because value of x is negative as x represents the time(in minutes)
