Question

Need help with math question

Answer 1

Answer:

Step-by-step explanation:

From the table shown in the picture, the amount of money earned depends on the number of hours for which the bicycle was rented. Let us represent the amount of money earned with y. This is the dependent variable.

Let us represent the number of hours, with x. This is the independent variable.

A) to find the slope,

Slope, m = (y2 - y1)/(x2 -x1) where

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

To find the intercept,c, we will input the slope,m, a value for y and a corresponding value for x in the slope intercept equation, y = mx + c

B) picking the following values from the table,

y2 = 32 when x2 = 3

y1 = 26 when x1 = 2

Slope becomes

(32-26)/(3-2) = 6

C) with points (3,32)

Our slope intercept equation is

y = mx + b

32 = 6×3 + b

c = 32-18 = 14

y = 6x + 14

When x = 0,

y = 6×0 +14

y = 14

y intercept, b = 14