A parking garage charges a flat rate for the first hour plus $1.25 for each additional hour of parking. It costs $8.00 to park in the garage for 5 hour. What is the linear equation models the total cost, y, of parking in the garage for x hours?
Please show your work if you can.
A. Y= 1.25x
B. Y= 1.25x + 5
C. Y= 1.25x + 1.75
D. Y= 1.25x + 3

Find the flat rate:

1.25 x 4 = 5.00

8.00 -5.00 = 3

The flat rate is $3

The equation would be:

D. Y= 1.25x + 3

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.

yo answer should be 6 if im not mistaken

step-by-step explanation: