SOLUTION: Can you show how to find the equation? Jacob earns $55 in 2 hours, or $130 in 5 hours. What equation represents this relation?

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Question 1001941: Can you show how to find the equation?
Jacob earns $55 in 2 hours, or $130 in 5 hours. What equation represents this relation?
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
You could find a linear relationship using the described two points.
x for how much time;
y for pay quantity;
Points are (2,55) and (5,130).

y-55=%28%28130-55%29%2F%285-2%29%29%28x-2%29
That uses point-slope form. Simplify and put into the form you want.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

use linear equation:
y=ax%2Bb
if Jacob earns $55 in 2 hours, we have
55=2a%2Bb.....eq.1
if Jacob earns $130 in 5 hours,we have
130=5a%2Bb........eq.2
solve this system:
55=2a%2Bb.....eq.1
130=5a%2Bb........eq.2
-----------------------------subtract eq.1 from eq.2
130-55=5a-2a%2Bb-b
75=3a
a=75%2F3
a=25
go to 55=2a%2Bb, plug in 25 for a and find b
55=2%2A25%2Bb
55=50%2Bb
b=55-50
b=5
so, an equation that represents this relation is: y=25x%2B5