10. A company makes calendars from personal photos. You pay a delivery fee foreach 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 thetotal cost as a function of calendars bought. (b)What is the delivery fee? (C)What isthe cost per calendar?
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Answer:
(a) D(c) = f + cx (b) Delivery fee is $5.(c) The cost per calendar is $19.Step-by-step explanation:Let, Delivery fee = fCost of calendar = xNo. of calendars = cTotal cost with delivery fee = DTherefore,The cost of 2 calendars plus delivery fee is $43.D(c)= f + cx43 = f + 2x Eqn 1The cost of 4 calendars plus delivery is $81.D(c) = f + cx81 = 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;[tex]2(43 = f + 2x)\\86=2f+4x\ \ \ Eqn\ 3[/tex] Subtracting Eqn 2 from Eqn 3;[tex](2f+4x)-(f+4x)=86-81\\2f+4x-f-4x=5\\f=5[/tex]Delivery fee is $5.(C)What is the cost per calendar?Putting f=5 in Eqn 1;[tex]43=5+2c\\43-5=2c\\2c=38\\[/tex]Dividing both sides by 2[tex]\frac{2c}{2}=\frac{38}{2}\\c=19[/tex]The cost per calendar is $19.Keywords: function, linear equationLearn more about functions at:brainly.com/question/2719492brainly.com/question/2724913#LearnwithBrainly
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