TamiyaV708937 TamiyaV708937
  • 25-10-2022
  • Mathematics
contestada

The table shows a linear relationship between x and y.Xу- 6020- 24356.47.50What is the rate of change of y with respect to x?0

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DhariusV213715 DhariusV213715
  • 25-10-2022

To calculate the rate of change between x and y, considering that this is a linear relationship, you have to calculate the slope of the linear relationship.

The slope of the line can be calculated using two values of the function and the following formula:

[tex]m=\frac{Y_1-Y_2}{X_1-X_2}[/tex]

Using the values (-60, 20) and (35,-24), the slope is

[tex]m=\frac{35-20}{-24-(-60)}=\frac{15}{36}=\frac{5}{12}[/tex]

m=5/12 indicates that every time x varies in one unit, y will vary 5/12

The correct option is number 4

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