Question

Help! How do I do this problem?

The cost, C, in millions of dollars of producing T million tons of steel is modeled by the equation C = 220T + 1890.

Solve the equation for T.

The steel produced is expected to be sold at a price of $310 per ton. Write and solve an equation to find the amount of steel produced if the selling price is equal to the cost of production.

Answer 1

C = 220T + 1890
To solve for T, isolate T.
Subtract 1890:
C - 1890 = 220T
divide by 220
(C - 1890) / 220 = T or
T = (C - 1890) / 220

Answer 2

Makes sense! Thank you so much aum!

Answer 3

For the second part,
C = 220T + 1890
cost of producing one ton is C/T.
C/T = 220 + 1890/T = selling price = $310
220 + 1890/T = 310
subtract 220:
1890/T = 310 - 220 = 90
multiply by T:
1890 = 90T
divide by 90:
1890/90 = T
T = 21
21 million tons of steel.