klilly092003
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Antwone earns money at a steady rate mowing lawns. The points (1,25) and (5,125) appear on a graph of the amount earned versus number of lawns mowed. What are the coordinates of the point on the graph with an x value of 3?

Respuesta :

(3,75) because:
change of y      125-25        100
--------------- ---> -------- --->  ------  ---->  25=k
change of x         5-1             4

y=kx --> y=25x; if x=3, 25x3= 75=y
so the coordinates are (3,75)

Answer:

(3;75)

Step-by-step explanation:

First, we find the ratio between the points:

[tex]m=\frac{125-25}{5-1}=\frac{100}{4}=25[/tex]

This ration means that y increase 25 units per each unit of x. So, based on this ratio we can make the sequence until x = 3.

We can show this in the table below:

x      y

1      25

2     50

3     75

4     100

5     125

As you can see, in the table, the coordinate for x = 3 is y = 75, and the points is (3;75)

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