The manager of a furniture factory finds that it costs $2400 to manufacture 90 chairs in one day and $4800 to produce 290 chairs in one day.

(a) Express the cost C (in dollars) as a function of the number of chairs x produced, assuming that it is linear.

Question

Mathematics

Kaitlin Spencer

28 June, 15:52

The manager of a furniture factory finds that it costs $2400 to manufacture 90 chairs in one day and $4800 to produce 290 chairs in one day.

(a) Express the cost C (in dollars) as a function of the number of chairs x produced, assuming that it is linear.

+1

Answers (1)

Know the Answer?

Penelope Gregory · Answer 1

(90,2400) (290,4800)

slope = (4800 - 2400) / (290 - 90)

slope = 2400/200 = 12

y = mx + b

slope (m) = 12

(90,2400) ... x = 90 and y = 2400

now we sub ... we r looking for b, the y int

2400 = 12 (90) + b

2400 = 1080 + b

2400 - 1080 = b

1320 = b

equation is : y = 12x + 1320

function = C (x) = 12x + 1320 <===

The manager of a furniture factory finds that it costs $2400 to manufacture 90 chairs in one day and $4800 to produce 290 chairs in one day.(a) Express the cost C (in dollars) as a function of the number of chairs x produced, assuming that it is linear.

The manager of a furniture factory finds that it costs $2400 to manufacture 90 chairs in one day and $4800 to produce 290 chairs in one day.

(a) Express the cost C (in dollars) as a function of the number of chairs x produced, assuming that it is linear.