Lynn takes her puppy, olive, to a doggy daycare. the price for the daycare is $21 per day along with a monthly admission fee of $48. last month lynn paid a total of $426. which equation can be used to find the number of days, d, that olive spent at daycare, and how many days was she there?
a.
21d + 48 = 426; 18 days
b.
48d + 21 = 426; 8 days
c.
426d - 21 = 48; 7 days
d.
48d + 426 = 21; 9 days

  A.  21d + 48 = 426; 18 days

Step-by-step explanation:

To find the total cost for the month, the number of days (d) must be multiplied by the cost per day (21). That product is added to the admission fee to get the total (426). Only one answer choice has the term 21d. That is the correct answer choice.

  21d + 48 = 426; 18 days

there are lots of ways.   pick's theorem tells us if the vertices are lattice points the area a is

a = b/2 + i - 1

where b is the number of boundary lattice points and i is the number of interior lattice points.

in the figure i count b=16, i=50 so

a = 8 + 50 - 1 = 57

let's try the shoelace formula.   the area is half the sum of the cross products of the sides.  

a(-2,6)   -2(2)-6(-5) = 26

b(-5,2)   -5(-3) - 2(-2) = 19

c(-2,-3) -2(-3) - (-3)(4) = 18

d(4,-3)   4(3) - (-3)(5) = 27

e(5,3)   5(3) - 3(1) = 12

f(1,3)     1(6) - 3(-2) = 12

a(-2,6)

each of the cross products is twice the area of the triangle with the associated side and one vertex the origin. so the area of abo=26/2=13.

area = (1/2) (26 + 19 +   18 + 27 + 12 + 12) = 57

that checks!

283 square feet

step-by-step explanation:

good luck