Write a function rule for the table. hours worked pay 2 $15.00 4 $30.00 6 $45.00 8 $60.00 p = 7.50h h = 7.50p p = h + 15 p = 15h

p = 7.50h

Step-by-step explanation:

The answer has to be in the form of p =, since p is the pay which represents our y value, and the hours worked represents our x value.  You can find the slope of the line by using the formula and any two points on the table:

That simplifies to 7.5.  So the slope of the line is 7.5.  We also know that the line goes through the origin (0, 0), which means, according to our data (and any data in the real world) that if you work 0 hours (x) you get 0 pay (y).  So the y intercept of the line is 0.  The equation, then, in slope-intercept form, is

p = 7.50h, the first choice.  This means that the employee makes $7.50 per hour and should probably consider a new job.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4