the cost in dollars y of producing x computer desks is given by y = 80x + 5000.\na. complete the table to…

the cost in dollars y of producing x computer desks is given by y = 80x + 5000.\na. complete the table to the right.\nb. find the number of computer desks that can be produced for $8280. (hint: find x when y = 8280.)\na. complete the table\n|x|y|\n|----|----|\n|100| |\n|200| |\n|300| |

the cost in dollars y of producing x computer desks is given by y = 80x + 5000.\na. complete the table to the right.\nb. find the number of computer desks that can be produced for $8280. (hint: find x when y = 8280.)\na. complete the table\n|x|y|\n|----|----|\n|100| |\n|200| |\n|300| |

Answer

Explanation:

Step1: Substitute x = 100 into the cost - function

Substitute x = 100 into y = 80x+5000. y = 80×100 + 5000=8000 + 5000=13000

Step2: Substitute x = 200 into the cost - function

Substitute x = 200 into y = 80x+5000. y = 80×200+5000 = 16000+5000=21000

Step3: Substitute x = 300 into the cost - function

Substitute x = 300 into y = 80x+5000. y = 80×300+5000 = 24000+5000=29000

Step4: Solve for x when y = 8280

Set y = 8280 in the equation y = 80x+5000. 8280=80x + 5000. First, subtract 5000 from both sides: 8280−5000=80x, so 3280 = 80x. Then, divide both sides by 80: x=\frac{3280}{80}=41

Answer:

x y
100 13000
200 21000
300 29000
The number of computer - desks that can be produced for $8280 is 41.