The basic structure of a linear function is y=mx+b (or +c, depending on your schools curriculum)
We need to find the slope (m), and the y-intercept (b/c)
To find the slope you can pick two random points, say (2,2) and (0,1)
The formula for the slope is this: m= y1-y2 / x1-x2
So if we substitute the points in, we get 2-1 / 2-0 = 1/2
Knowing the slope, it can be substituted into to the equation: y=1/2x + b
Then, if you notice the second point- (0,1), it’s the y-intercept. The y coordinate there is 1.
To check if this is correct, a random coordinate set can be picked and substituted in to find b.
y= 1/2x + b
2 = 1/2 *2 + b
2 = 1 + b
2-1=b
1=b
Therefore, the final linear function is y = 1/2 x + 1
Answer:

Step-by-step explanation:
Pythagorean Theorem

Twelve runners because if you take three-fourths times four you will get twelve-sixteenths. and each runner runs one-sixteenth so it is twelve.
Answer:
The tax amount is 15.17$
The tax rate is 12.4%.
Step-by-step explanation:
First we subtract the cost from the selling price.
137.17 - 122 = 15.17
We have found the tax amount, now for the tax rate.
If tax rate is x, then
122 * x = 137.17
Divide both sides by 122 to get
x = 137.17/122 = 1.124, or .124.
Then convert into percentage by moving the decimal to the right 2 times.
.124 = 12.4%
Hope this helps you
96 people are attending the concert.
Step-by-step explanation:
Given,
Number of children at concert = 12
This represents 12.5% of the people attending concert.
Let,
p be the total people attending concert.
12.5% of p = 12

Dividing both sides by 0.125

96 people are attending the concert.
Keywords: percentage, division
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