The greater unit rate of the two functions is . The greater y intercept of the two functions is

Answer:Part 1) The greater unit rate of the two functions is the linear function of the tablePart 2) The greater y intercept of the two functions is the linear equation of the graphStep-by-step explanation:we know thatThe rate of a linear function is equal to the slopestep 1Find the slope of the linear equation in the tablewe have(0,5) and (5,15)The slope is equal to[tex]m=(15-5)/(5-0)=10/5[/tex]To find the unit rate divide by 5 both numerator and denominator[tex]m=2/1=2[/tex]step 2Find the slope of the linear equation of the graphwe have(-4,0) and (0,6)The slope is equal to[tex]m=(6-0)/(0+4)=6/4=3/2[/tex]To find the unit rate divide by 2 both numerator and denominator[tex]m=1.5/1=1.5[/tex]Compare the unit rate of the two linear equations2 > 1.5thereforeThe greater unit rate of the two functions is the linear function of the tablestep 3Find the y-intercepts of the linear equationsRemember that the y-intercept is the value of y when the value of x is equal to zeroLinear equation of the tableObserving the tableFor x=0, y=5therefore The y-intercept of the linear equation of the table is the point (0,5)Linear equation of the graphObserving the graphFor x=0, y=6therefore The y-intercept of the linear equation of the table is the point (0,6)Compare the y-intercept both functions6 > 5thereforeThe greater y intercept of the two functions is the linear equation of the graph