Allen traveled for 7 hours at a constant rate of 40 miles per hour. Anna traveled the same distance at a constant rate of 50 mil
es per hour.
How long did it take Anna to travel the same distance as Allen?
Drag the steps in the correct order to solve the problem.
How long did it take Anna to travel the same distance as Allen?
Drag the steps in the correct order to solve the problem.
1 answer:
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Answer:
The equation of Grant's path is y = 4 - x over 2 ⇒ 2nd answer
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
- m is the slope of the line
- b is the y-intercept (value y at x = 0)
The formula of the slope of a line is
∵ Grant's path is a line from point A to point B
∴ The equation of AB represents Grant's path
Lets find the slope of AB using the formula of the slope above
∵ A = (8 , 0)
∵ B = (-4 , 6)
∴ = 8 and
= -4
∴ = 0 and
= 6
∵
∴
Substitute the value of m in the form of the equation
∵ y = m x + b
∴ y = x + b
∵ b is the value of y at x = 0
∵ y = 4 at x = 0 ⇒ from the figure
∴ b = 4
∴ y = x + 4
We can write x as
∴ y = + 4
- Switch the two terms of the right hand side
∴ y = 4 -
The equation of Grant's path is y = 4 -