Equations from Word Problems
3. A plumber charges $50 to make a house call. He also charges $25.00 an hour for labor.
a. Write an equation that you could use to find the amount a plumber charges for a house call based
on the number of hours of labor.
F(x) =
What is the answer

Step-by-step explanation:

First, we know that for every hour for labor he charges $25

So, let x = # of hours

Thus, 25x

Second, he charges $50 for a house call. This does not depend on the # of hours, and serves as our "Starting Pay"

So, we combine and get F(x)=25x+50, where F(x) is the amount he charges

Hope this helps!

Stay Safe!

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.