Problema Solution
the number of people that get their daily news from the tv and online sources has risen in the last decade. in 1998,there were 1510daily news papers operating in the u.s..by 2003, there were only 1456 daily news papers still operating.
part a:write a linear equation which models the relationship between year,t, and the number of daily newspapers,d,in the form d= at+b. let t=0 represent the year 1998
part b:describe in words the meaning of slope a from your equation
part c: assuming the relationship between year and number of daily news operations remains linear, use your equation to predict the number of daily newspapers in the year 2025. round up to the nearest operating daily newspaper
Answer provided by our tutors
part a: write a linear equation which models the relationship between year,t, and the number of daily newspapers,d,in the form d= at+b.
let t=0 represent the year 1998
for t = 0 we know that d = 1510
d= at+b
a*0 + b = 1510
b = 1510
for the year 2003 we have t = 2003 - 1998 = 5 and d = 1456
1456 = 5a + 1510
by solving we find:
a = - 54/5
click here to see the step by step solution of the equation:
d = (-54/5)t + 1510 is the linear equation which models the relationship between year,t, and the number of daily newspapers,d
part b:describe in words the meaning of slope a from your equation
the slope a = -54/5 is negative means the function is decreasing and the number of daily news papers still operating is decreasing with the years
part c: assuming the relationship between year and number of daily news operations remains linear, use your equation to predict the number of daily newspapers in the year 2025. round up to the nearest operating daily newspaper
for the year 2025 we have t = 2025 - 1998 = 27
d = (-54/5)*27 + 1510
d = 1218 operating daily newspapers
click here to see the step by step solution of the equation: