Mr. D'Angelo hired a painter to paint the outside of his house green. The painter must mix 3 gallons of blue paint with every 5
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Any linear function is of the form y=mx+b
Here m is slope and b is y intercept.
Slope is difference in y divided by different in x values .
In the question for 5 persons cost is $100 and for 10 persons cost is $162.50
So the points are (5,100) and (10,162.50)
Slope m==12.50
We can find the value of b by taking m=12.50 and (x,y)=(5,100)
Substitute these values in y=mx+b
100=12.50(5)+b
100=62.50+b
Subtracting 62.50 both sides
b=100-62.50
b=37.5
a) Put m=12.50 and b=37.50 to get the equation
y=12.50x+37.50
b)Rate of change is the m value or the slope of the function.
Initial value that is (5,100) gives us one of the points to find the rate of change.
Step-by-step explanation:
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Answer:
Therefore Josie drove 57.5 miles.
Step-by-step explanation:
Speed: The ratio of distance to time.
To find the distance we use the following formula
Given that Josie drove 45 minutes at 70 miles per hour.
In 45 minutes, she traveled =
=52.5 miles.
The she drove 15 minutes at 20 mile per hour.
In 15 minutes, she traveled
=5 miles
Therefore Josie drove (52.5+5) miles= 57.5 miles.