Respuesta :

kamimac03

Answer:

B

Step-by-step explanation:

It cannot be C. The Y-intercept of Function W is 30, while the Y-intercept of Function Z is 15.8. Now, we are left with A, B, and D.

It cannot be D, because 30 is not less than 15.8. Now, we are left with options A and B.

Function Z as an equation is approximately y=-1/24x+15.8.

The slopes are NOT equal, so the answer cannot be A.

Explanation why it's B:

1/16 is bigger than 1/24, however, since the fractions are NEGATIVE, -1/16 is actually LESS THAN -1/24. The slopes of Function W is less than the slope of Function Z.

mhanifa

Answer:

B. the slope of function W is less than he slope of function Z

Step-by-step explanation:

Function W:

  • y= - 1/16x+30

Function Z:

from the table we can see it is decreasing function with step change of -0.04

using the data from the table we can put the function in y= mx + b format:

  • x=0 ⇒ y= 15.8      ----- intercept
  • x=1 ⇒ y= 15.76
  • 15.76- 15.8 = - 0.04= - 4/100 = -1/25     ----- slope

as per above, we get the the form of function Z

  • y= -1/25x+15.8

we can now compare the slops and intercepts of functions W and Z

m - is the slope: -1/16 and - 1/25

  • -1/25>-1/16 ⇒ the slope of function W is less than Z

b is the y-intercept: 30 and 15.8

  • 30>15.8 ⇒ the y-intercept of function Z is less

As per above the correct option is

  • B. the slope of function W is less than he slope of function Z

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