Q:

you are draining a fish pond. The amount Y in liters of water remaining after X hours is y equals -60x + 480 a graph the equation be interpreted the X and Y intercepts​

Accepted Solution

A:
Answer:The graph in the attached figuresee the explanationStep-by-step explanation:Letx----> the time in hoursy ----> liters of water remaining in the fish pondwe have [tex]y=-60x+480[/tex]This is the equation of a line in slope intercept form[tex]y=mx+b[/tex]wherem is the slope or unit rateb is the y-intercept or initial valueIn this problem we haveThe slope or unit rate is equal to[tex]m=-60\ \frac{liters}{hour}[/tex] ----> is negative because is a decreasing functionThe y-intercept or initial value is[tex]b=480\ liters[/tex]The graph in the attached figureRemember thatThe y-intercept is the value of y when the value of x is equal to zeroThe y-intercept is the point (0,480)That means----> The initial amount of liters of water in the fish pond was 480 liters before drainage began (for x=0 hours).The x-intercept is the value of x when the value of y is equal to zeroThe x-intercept is the point (8,0)That means----> The time required to empty the fish pond is 8 hours (for y=0 liters)