Slope intercept form is y = mx + b
First step: Pick two coordinates from the graph. I chose: (0, -3) and (-2, 5).
Second step: Now use the formula y2-y1 over x2-x1 to calculate the slope. It should look like this: 5 - - 3 over -2 - 0 = -8/2. Simplify it to -4.
Third step: Write this in slope intercept form.
—> FINAL answer: y = -4x - 3.
The number of minutes it will take 5 machines to make 15 widgets is 90 minutes
Given that :
The time taken to make a widget is directly proportional to the number of widgets made and inversely proportional to the number of machines utilized.
Using the variation protocol defined :
Let :
n = number of widgets made
n = number of widgets made m = number of machines used
n = number of widgets made m = number of machines used t = time taken
Hence, from joint variation :
t α n α 1/m
t = kn/m
Where k = constant of proportionality :
Solving for k
When t = 10, n = 5, m = 15
10 = (k × 5) / 15
15 × 10 = 5k
150 = 5k
k = 150 / 5
k = 30
Equation becomes :
t = 30n/m
Solve for t ;
When m = 5 ; n = 15
t = (30 × 15) / 5
5t = 450
t = 450 / 5
t = 90
Hence, it will take 90 minutes.
Learn more : brainly.com/question/18796573
You would get 89/21 and then for a mixed number 4& 5/21
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