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The table shows the amount of money, A,
in a savings account after m months.
number of months dollar amount
5
Select all the equations that represent the
relationship between the amount of
money, A, and the number of months, m.
1,200
6
1,300
7
1,400
8
1,500

The table shows the amount of money A in a savings account after m months number of months dollar amount 5 Select all the equations that represent the relations class=

Respuesta :

Answer:

Options (E) and (G).

Step-by-step explanation:

From the data given in the table,

There is a common difference of $100 in every successive term of the amount  of money.

Therefore, graph of the given table will represents a linear graph.  

There are two points (5, 1200) and (6, 1300) lying on the graph.

Let the equation of the line is,

[tex]y-y_1=n(x-x_1)[/tex]

If A = Amount of money

n = Number of months

[tex]A-y_1=n(m-x_1)[/tex]

where 'n' = slope of the line

Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

          = [tex]\frac{1300-1200}{6-5}[/tex]

          = 100

Equation of the line passing through (6, 1300) and slope = 100

A - 1200 = 100(m - 5)

A = 100(m - 5) + 1200

A = 100m - 500 + 1200

A = 100m + 700

Therefore, Options (E) and (G) are the correct options.

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