Answer:
D. 13*3^x
Step-by-step explanation:
Rate at which risk of down syndrome is changing is approximated by function r(x) = 0.004641x2 − 0.3012x + 4.9 (20 ≤ x ≤ 45) wher
e r(x) measured in percentage of births per year and x is maternal age at delivery. find function f giving risk as percentage of births when maternal age at delivery is x years, given that risk of down syndrome at 30 is 0.14% of births.
1 answer:
The rate of change of the risk of down syndrome (in percentage of births per year) is
r(x) = 0.004641x² - 0.3012x + 4.9, 20≤ x ≤ 45
where
x = maternal age at delivery.
The function giving risk as a percentage of births when maternal age is x is the integral of r(x). That is,
f(x) = 0.001547x³ - 0.1506x² +4.9x + c
When x = 30, f = 0.14%. Therefore
0.001547(30³) - 0.1506(30²) + 4.9(30) + c = 0.14
41.769 - 135.54 + 147 + c = 0.14
c = -53.089
Answer:
f(x) = 0.001547x³ - 0.1506x² + 4.9x - 53.089, 20 ≤ x ≤ 45
The function is graphed as shown below.
r(x) = 0.004641x² - 0.3012x + 4.9, 20≤ x ≤ 45
where
x = maternal age at delivery.
The function giving risk as a percentage of births when maternal age is x is the integral of r(x). That is,
f(x) = 0.001547x³ - 0.1506x² +4.9x + c
When x = 30, f = 0.14%. Therefore
0.001547(30³) - 0.1506(30²) + 4.9(30) + c = 0.14
41.769 - 135.54 + 147 + c = 0.14
c = -53.089
Answer:
f(x) = 0.001547x³ - 0.1506x² + 4.9x - 53.089, 20 ≤ x ≤ 45
The function is graphed as shown below.
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Answer:
Total cost = $4,873
Therefore, the booking cost of hotel 5 would be $4,873
Step-by-step explanation:
Please refer to the attached table.
The total cost includes the cost of the room and the cost of buffet dinner.
From the given table hotel 5,
The cost of the room for 120 people is found to be $166 per hour.
The conference will last for 5 hours so the total cost of the room is
Cost of room = 5*$166 = $830
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The cost of the buffet dinner per head is found to be $30.
Since there are total 120 people so the total cost of dinner is
Cost of dinner = 120*$30 = $3600
Total cost = $830 + $3600 = $4430
We are given that hotel 5 has recently increased the total chargers by 10%
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Therefore, the booking cost of hotel 5 would be $4,873.
