Your friend has improved in his math class. On his first test he scored 50 points, and then he scored 53, 56, 59, and 62 points
1 answer:
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Solution :
a).
1. The domain of C(x)
Range of c(x) is
Since the negative value do not make any sense.
2. C(x) = Ax + b
Intercept here denotes the fixed cost (that is when x = 0)
The slope indicates the marginal cost (that is increase in cost per unit of quantity)
3. Revenue is maximum marginal revenue = 0
(that is when at the top of the parabola)
4. Profit = R(x) -C(x)
5. Range of P(x) is important so that we have the idea in mind about the maximum loss and the maximum profit for a particular quantity.
6 and 7 -- insufficient data.
Total earnings of Rita($360) is greater then that of Erin($300) .
<u>Step-by-step explanation:</u>
Here we have , Erin earns $7.50 for each hour she works. Rita earns $9.00 for each hour she works. The table shows the amounts that Erin and Rita earn for working 1 to 6 hours.
Hours Erin Rita
1 $7.50 $9.00
2 $15.00=7.50(2) $18.00 =9(2)
3 $22.50=7.50(3) $27.00 =9(3)
4 $30.00=7.50(4) $36.00 =9(4)
5 $37.50=7.50(5) $45.00 =9(5)
6 $45.00=7.50(6) $54.00 =9(6)
From the tale we can clearly see that , General formula for Erin working hours is :
⇒ where n is number of hours worked And ,
General formula for Rita working hours is :
⇒ where n is number of hours worked
So , for 40 hours work total earnings of Erin & Rita is and
respectively. Therefore , Total earnings of Rita($360) is greater then that of Erin($300) .