Question

10. A company makes calendars from personal photos. You pay a delivery fee for
each order plus a cost per calendar. The cost of 2 calendars plus delivery fee is $43.
The cost of 4 calendars plus delivery is $81. (a)Write an equation that gives the
total cost as a function of calendars bought. (b)What is the delivery fee? (C)What is
the cost per calendar?

Answer 1

(a) D(c) = f + cx    

(b) Delivery fee is $5.

(c) The cost per calendar is $19.

Step-by-step explanation:

Let,

Delivery fee = f

Cost of calendar = x

No. of calendars = c

Total cost with delivery fee = D

Therefore,

The cost of 2 calendars plus delivery fee is $43.

D(c)= f + cx

43 = f + 2x Eqn 1

The cost of 4 calendars plus delivery is $81.

D(c) = f + cx

81 = f +4x    Eqn 2

(a)Write an equation that gives the  total cost as a function of calendars bought.

D(c) = f + cx      

(b)What is the delivery fee?

Multiplying Eqn 1 by 2;

$2(43 = f + 2x)\\86=2f+4x\ \ \ Eqn\ 3$  

Subtracting Eqn 2 from Eqn 3;

$(2f+4x)-(f+4x)=86-81\\2f+4x-f-4x=5\\f=5$

Delivery fee is $5.

(C)What is  the cost per calendar?

Putting f=5 in Eqn 1;

$43=5+2c\\43-5=2c\\2c=38$

Dividing both sides by 2

$\frac{2c}{2}=\frac{38}{2}\\c=19$

The cost per calendar is $19.

Keywords: function, linear equation

Learn more about functions at:

• brainly.com/question/2719492
• brainly.com/question/2724913

#LearnwithBrainly