Answer fast 1. each week, bart earns a base rate of $85 and a commission on each dollar of merchandise he sells. if bart sells $3600 in one week and c represents the commission percentage, which algebraic expression represents his earnings for that week? 2.a rental car agency charges a base fee of $60.00 plus $0.25 per mile travelled. which algebraic expression represents the cost of renting a car from the agency after traveling m miles?

1. It depends on the form of "c". If we realize that a commission percentage of 10% is identical in value to 0.10, then we can compute the commission as 3600c. If the commission percentage of 7% is given as c=7, then we need to compute the commission as 3600·(c/100) = 36c. We will assume the former.

... (Bart's earnings) = 85 + 3600c

2. The cost of a rental is the base fee plus the mileage charge multiplied by the number of miles:

... (cost of renting) = 60.00 + 0.25m

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.

y=mx+b

step-by-step explanation:

m slope

b y-intercept