The corner of a room where two walls meet the floor should be a right triangle. Jeff makes a mark along each wall. One mark is 15 inches from the corner. The other is 8 inches from the corner. How can Jeff use the Pythagorean Theorem to see if the walls form a right angle?
If the distance across the floor from one mark to the other is
nothing inch(es), then the
Pythagorean Theorem
says that because 15 squared plus 8 squared equals nothing squared
, a right triangle is formed.

Data from 2005 for various age groups show that for each $100 increase in the median weekly income for whites, the median weekly income of blacks increases by $105. also, for workers of ages 25 to 54 the median weekly income for whites was $676 and for blacks was $527. (a) let w represent the median weekly income for whites and b the median weekly income for blacks, and write the equation of the line that gives b as a linear function of w. b = (b) when the median weekly income for whites is $760, what does the equation in (a) predict for the median weekly income for blacks?