the cost in dollars y of producing x computer desks is given by y = 60x + 6000. a. complete the table. b…
the cost in dollars y of producing x computer desks is given by y = 60x + 6000. a. complete the table. b. find the number of computer desks that can be produced for $9900. \n| x | 100 | 200 | 300 |\n| y | | | |\n a. complete the table. \n| x | 100 | 200 | 300 |\n| y | | | |
Answer
Explanation:
Step1: Calculate y for x = 100
Substitute x = 100 into y = 60x + 6000. y = 60×100+6000 = 6000 + 6000=12000
Step2: Calculate y for x = 200
Substitute x = 200 into y = 60x + 6000. y = 60×200+6000 = 12000+6000 = 18000
Step3: Calculate y for x = 300
Substitute x = 300 into y = 60x + 6000. y = 60×300+6000 = 18000+6000 = 24000
Step4: Find x when y = 9900
Set y = 9900 in the equation y = 60x + 6000. 9900=60x + 6000 Subtract 6000 from both sides: 9900 - 6000=60x 3900 = 60x Divide both sides by 60: x = \frac{3900}{60}=65
Answer:
a. | x | 100 | 200 | 300 | | y | 12000 | 18000 | 24000 | b. 65