Answer:
First blank would be 25, Second blank would be 75.
Explanation:
In order to figure out the blanks, we must figure out the original function first.
How do we do that?
-> we put in the points that we already have- in to equation:
y = ax + b
If we put the 6, 10 in to x, y , we would get :
10 = 6a + b
If we put the 12, 20 in to x, y , we would get :
20 = 12a + b
because these share the "+b" they can be subtracted.
10 = 6a + b
- 20 = 12a + b
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and this would be :
-10 = -6a, a = 5/3.
we can partly complete the equation.
y = 5/3x + b, and by putting in the numbers, we can figure out that b=0.
The full equation have : y = 5/3x
now, put 15 and 45 in to the x and see what you get!
y=25, 75
Have a nice day :)