Question
Which of the relationships below represents a function with a greater slope than the function y=3 x-3 ? A B C x & y 4 & 27 8 & 51 12 & 75 16 & 90 D x & y 0 & -4 4 & 3 8 & 10 12 & 17
Solution
4.6
(317 Votes)
Winston
Elite ยท Tutor for 8 years
Answer
To determine which relationship represents a function with a greater slope than the function
, we need to calculate the slope of each given relationship and compare it to the slope of the given function, which is 3.**Option C:**The table provides points \((4, 27)\), \((8, 51)\), \((12, 75)\), and \((16, 90)\).Calculate the slope using any two points. Let's use \((4, 27)\) and \((8, 51)\):
**Option D:**The table provides points \((0, -4)\), \((4, 3)\), \((8, 10)\), and \((12, 17)\).Calculate the slope using any two points. Let's use \((0, -4)\) and \((4, 3)\):
Comparing the slopes:- The slope of the function
is 3.- The slope for Option C is 6.- The slope for Option D is 1.75.Therefore, Option C represents a function with a greater slope than the function
.