Acoffee shop currently sells 490 lattes a day at $3.00 each. they recently tried raising the by price by $0.25 a latte, and found that they sold 30 less lattes a day. a) assume that the number of lattes they sell in a day, n, is linearly related to the sale price, p (in dollars). find an equation for n as a function of p.

N(p) = -120p + 850

Step-by-step explanation:

Let the number of lattes sold by the coffee shop  be N

and p be the price of each Lattes

The number of lattes (N) sold by a coffee shop is linearly related to the sale price (p).

Now,Let the linear relationship be

N(p) = mp+c, -------------------(1)

where

m is the slope

c is an arbitrary real number.

--------------------(2)

=  number of lattes sold  currently   = 490

 = number of lattes sold  previously  = 490 - 30

=  cost of lattes sold currently = 3.00

 = cost of lattes sold  previously  = 3.00+0.25

Substituting the values in eq(2)

Now, m =

m =

m =

m  = -120.

On substituting m = -160 eq(1), we get

N(p) = -120p+c.

Further, on substituting N = 430 and p = 2.75 , we get

490 = -360 + c

490+360 = c

c = 850

Thus

N(p) = -120p + 850

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)

ddd

step-by-step explanation: