Two years after it’s purchase, if Manuel’s gift card is unused, the automatic decrease on the gift card balance is given by the equation b = 50 - 5m, where m is the number of months beyond two years. Is this model of the siu action linear? If it is, what are the slope and y-intercept?A. linear: slope = -10, y-intercept = 5B. linear: slope = -50, y-intercept = 5C. linear: slope = -5, y-intercept = 50D. not linear
Accepted Solution
A:
Answer:Option C. linear: slope = -5, y-intercept = 50Step-by-step explanation:Letb ----> is the automatic decrease on the gift card balancem ----> is the number of months beyond two yearswe know thatThe equation of the line into slope intercept form is equal to[tex]y=mx+b[/tex]wherem is the slopeb is the y-interceptIn this problem the linear equation that represent this situation is[tex]b=-5m+50[/tex] ---> equation of the line into slope intercept formso The slope is -5The y-intercept is 50