A company called Blurb prints books. According to its advertisement, you get a 15% discount on all orders of 51 or more copies of the same book (up to 100 copies). Is the cost per order a linear function of the number of copies you order (up to 100)?

Yes, the cost per order is a linear function of the number of copies you order (up to 100).

Step-by-step explanation:

Let;

y = Total cost of order from one copy up to 100 copies or dependent variable

a = Cost of 50 copies or fixed intercept

x = Cost of 51 copies or more up to 100 copies or dependent variable, i.e. 51 = x 100

b = Coefficient of x = 1 - Discount rate = 1 - 15% = 1 - 0.15 = 0.85

We can therefore represent have a function as follows:

y = a + bx ........................ (1)

Substituting b = 0.85 into equation (1), we have:

y = a + 0.85x ...................... (2)

Equation (2) implies that as b equal to 51 or more up to 100, y also increases. Equation (2) is therefore an example of linear function which will give an upward sloping straight line and can be rewritten as:

y = f(x) = a + 0.85x ................. (3)

Therefore, the cost per order is a linear function of the number of copies you order (up to 100).

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.