jey99
contestada

Margaret and Donovan are twins. They
have each kept track of their heights
every year since they were 5.
Margaret made a table to track her
height.
Age, a 5 | 6 | 7
Height, h (cm) 101 105 109
|
8
113
| 9
| 117
| 10
| 121
Donovan wrote an equation to track his height: h = 5a + 84
Which statement correctly compares the twins' rates of growth?

Margaret and Donovan are twins They have each kept track of their heights every year since they were 5 Margaret made a table to track her height Age a 5 6 7 Hei class=

Respuesta :

The rate of a linear function is its slope.

The slope is defined via the "rise over run" ratio, i.e.

[tex]m = \dfrac{\Delta y}{\Delta x} = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

If you pick any two columns from the table and perform this operation (for example the first two), you have

[tex]m = \dfrac{y_2-y_1}{x_2-x_1} = \dfrac{105-101}{6-5}=4[/tex]

On the other hand, given an equation like [tex]y=mx+b[/tex], the slope is the coefficient m. So, the rate of [tex]y=5a+84[/tex] is 5.

This means that Margaret grows 4cm per year, while Donovan grows 5cm per year, and therefore he grows faster.

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