<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
The large box is 45 pounds and the small is 20 pounds
Since the buses travel in opposite directions, the speed at which they distance themselves is the sum of their speeds.
One bus travels at speed s.
The other bus travels at speed s + 15.
The sum of the speeds is s + s + 15 = 2s + 15
speed = distance/time
distance = speed * time
366 = (2s + 15) * 2
183 = 2s + 15
168 = 2s
s = 84
The slower bus travels at 84 km/h.
s + 15 = 84 + 15 = 99
The faster bus travels at 99 km/h.
Check:
In 2 hours, the slower bus travels 2 * 84 km = 168 km
In 2 hours, the faster bus travels 2 * 99 km = 198 km
In 2 hours, the buses are 198 km + 168 km = 366 km apart.
Our answer is correct.
