If the train travels 744 miles in 3 hours then to determine the unit rate the train is traveling per hour you have to divide the miles by the hours, in this case (744 miles)/(3 hours). The final result concludes as 248 miles per hour.
<em><u>The cost of production equation is:</u></em>
C = 10n + 20000
<em><u>Solution:</u></em>
<em><u>The equation representing the cost, C, of producing n tires at Royal Tires Co. can be written as:</u></em>
C = mn + f
Where,
C = cost
n = number of tires
f = company's fixed cost
<em><u>It costs $30,000 to produce 1,000 tires while it costs $50,000 to produce 3,000 tires</u></em>
Therefore,
30, 000 = m(1000) + f
50, 000 = m(3000) + f
Which is,
1000m + f = 30000 ------- eqn 1
3000m + f = 50000 ------- eqn 2
Subtract eqn 1 from eqn 2
3000m + f = 50000
1000m + f = 30000
( - ) -------------------
2000m = 20,000
m = 10
Substitute m = 10 in eqn 1
1000(10) + f = 30000
f = 30000 - 10000
f = 20,000
Thus the equation is:
C = 10n + 20000
You didn’t give us the answer choices.
