SOLUTION: I need to write a 2 step equation for this problem( Sam is on a hill that is 150 feet high. With each step he walks down he is 0.25 foot lower how many steps will he take before he

Question 829755: I need to write a 2 step equation for this problem( Sam is on a hill that is 150 feet high. With each step he walks down he is 0.25 foot lower how many steps will he take before he is half way down the hill? Use s to repersent step
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
This suggests a linear equation with a negative slope. This is with y intercept 150, for when s for steps downward is zero.

Vertical axis, y, the height on the hill.
Horizontal axis, s, for steps count.
We can make an equation in slope-intercept form. What is the slope?
Vertical change of -0.25 occurs with horizontal change of +1.
Slope, is or if prefered, ;

EQUATION:
Half-way down the hill is at ; substitute it, and solve for s.
(Alternatively, solve for s and then substitute for y=75).
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