Pumping iron: 10x+90=0
Fit for life: 15x+50=0
Set them equal to each other. 10x+90=15x+50. Solve for x. Subtract 50 from both sides, get 10x+40=15x, then subtract 10x from both sides, getting 40=5x. Divide 5 from both sides to isolate x, x=8. After 8 months the two gyms will cost the same.
Check the picture below.
keep in mind that an absolute value expression is in effect a piece-wise.
Answer:
y= -3x+1
Step-by-step explanation:
Let's start with the y-intercept (initial value). The y-intercept is where the line intersects the y-axis, so the x value should be 0. Here, the y-intercept is (0,1).
The slope is equivalent to the rise over run. We rise three and go to the left 1 which gives us a slope of negative 3 since we went to the left instead of the right.
Equation for a line:
y=mx+b where m is the slope and b is the y-intercept.
We plug in the slope and y-intercept in and get...
y= -3x+1
His average speed per hour is 7 miles per hour.