Question

pleace help me to answer this qutions

Set up systems of two equations to solve the following application I 1 In a basketball game reported a box score where star player, Bob "Biscuit Basketball had the following line in the box score: "8-16 3-4 20". This means that Biscuit made 8 field goals (this includes 2 point and 3 point FG's) out of 16 attempts. He also made 3 one point free throws out of 4 attempted for a total of 20 points. How many 2 point field goals and how many 3 point field goals did Biscuit make in this game ? 2. Mixture Problem All kids love Energy Pebbles cereal, but their parents don't love the wide-eyed energy boost that comes from their children consuming Energy Pebbles. They would rather the kids eat Rice Cake Puffs cereal. The following explains why. Energy Pebbles is 85% sugar while Rice Cake Puffs only contain 5% sugar. How many ounces of Energy Pebbles and how many ounces of Rice Cake Puffs need to be mixed together to get 20 ounces of a mixture that has a more reasonable 45% sugar? 3 Home Repo rents a lawn aerator for $35 a day plus $5 per hour. Tool Time Tool Rental rents a similar aerator for $50 per day plus $2 per hour. (a) Write the linear cost functions for each company for a one day rental. (b) Use a system of two equations to find the intersection between the two linear cost functions (c) Interpret the meaning of the solution point. (d) For what hours is Home Repo the cheaper rental 5 4. Inventory Problem Euler's Discount Outlet just sold a total of 260 packs of Bubble Pop bubble gum and Tooth Rot gum for a total of $271.15. Each pack of Bubble Pop costs $1.20 while Tooth Rot gum costs only $0.95 per pack. How many packs of Bubble Pop and how many packs of Tooth Rot were sold ? A jewelry maker has fixed monthly expenses of S1650, and each necklace produced costs $35. The jeweler can sell the necklaces for $85 each. Let x represent the number of necklaces produced and sold (a) Find the cost function C(x) (b) Find the revenue function R(x) (c) Use the graphical method to find the break even point. The break even point is the solution to the system [y=C(x) y = R(x)] 6. The school store recently sold packs of gummy bears and chocolate bars. Each bag of gummy bears cost $0.97 each and each chocolate bar costs $1.11. The store sold 1158 bags of gummy bears and chocolate bars combined, for a total of $1215.24. How many of each type of candy was sold? Set up a system of equations and use the elimination method to solve. Section 1.8 Linear Systems of Two Equations 103

Answer 1

1 Total cost $ 1215.24 0.97X + Lilly On Solving Li_d (7) 1215.24 un) we get X = Gummy bear y sol units & 657 units Chocolate bur CS Scanned with CamScanner

2 20 ounce 20 Let 'x' wnits of Energy Pebbles & byl units of Rice cake should be given. (mit = Ounce) Total qty (1) X Х- ну Energy Pettle contain 85% & Rice luke hus emergy. Totul should be 45% sugar. (857.) + 157.) y = (x+y) 45% :, 0.851 + 0,05% 20x45% . 1) , get X = Energy lebbles 10 Pebble=10 ounce Y = Rice Cake 5%. G t. - 10 ounce CS Scanned with CamScanner

3 (a lome Repo Fixed est = $35, variable cost = $5/hr fost function Fixed est + Variable cost . Clt) 3.5 + 5t i ; t in hrs. -) Tool time fixed cost $50, Variable Gst = $ 2/hr. Clt) 50 + 2t li) (6) subtruct ii) from lii) we get = (50-35) + (2-5)+ > 15 t both has 34 - shnd clt) = 35+5 (5) = $60 (c) The solution point (t, c(t)) = (5,60) shows the in difference point ie at this point same charge ( Total cost) which is $ for (d) Home Repo is ih euper if 1) < (0) vie 35+ 51 < 50 + 21t) 3t T 15 tx 5 hrs. ielif hrs. <5 cs Scanned with CamScanner

h Let it sold Bubble lop bubble gum 6x unit sold lyn units of Tooth Rot gum. & it total 260 li) X ty 2 bo Then sold aty i.e Cost of the Bubble pop & cost of tooth not Gst $ 271.75 1.2 X t o. 95 y $1.2 lunit $0.95/ unit Total 271-75 - زارا ۔ CS Scanned with CamScanner

On solving li) & (i), we get X = 99 qa, Y = 161 He sold Bubble Pop ? a 9 writs L & Tooth rot 161 units 5 (a) Cost Fixed Gst + Variable est Fixed Gst = $ 1650 & Variable = $35) necklace C(x) = 1650 + 35x]; x being no. of w neck laces. Reven ne per neck lnce & $85 16) o', li) (c) RIX) 85X on solving li) & li je Y = (1x) Y ч R(x) = 1650 +35X >X - 33 necklaces Graphical solution » 85X Break even 2-> CS Scanned with CamScanner

-3000 (33, 2805) C(x) = 1650 + 35 x 20000 R(X) + 85 x 1000 -10 10 20 30 40 50

6 at Let school store sold 6 x unit of gummy bear ost of $0.97 euch . & byl units of chocolate bur at cost of $1.11 each. Total sold sold qty 1158 X. ty У 1158 vi) CS Scanned with CamScanner