calculas questions

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qnan44

Mathematics

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please see attachment and solve the questions. i don't mind you writing it CLEARLY on a peace of paper and take a clear picture of it if thats what works for you, I'm fine with typing it or writing it either ways is OK.

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Solve. 1) (Worth 6 points) A plumber charges $50 to make a house call. He also charges $25.00 per hour for labor. a) Write an equation that you could use to the amount a plumber charges for a house call based on the number of hours of labor. b) How much would it cost for a house call that requires 2.5 hours of labor? c) If the bill from the plumber is $162.50, how many hours did the plumber work at your house? 2) (Worth 2 points) In Michigan, 12.70% of the population was not covered by health insurance in 2005. In 2008, the percentage of uninsured people dropped to 11.68%. Use the linear model to predict the percentage of people in Michigan that were not covered in 2013. (Source: Michigan Department of Community Health.) 3) (Worth 6 points) An internet service provider charges $18 per month plus an initial set-up fee. One customer paid a total of $81 after 2 months of service. a) Write an equation modeling this situation. b) What is the initial set-up fee? c) How much does it cost after 5 months of service? Find the domain of each function. (Each worth 2 points) 4) f(x) = -8x + 7 x - 3 5) h(x) = x² - 4 6) F(x) = x - 3 x² + 3x + 2 Evaluate each function. (Each worth 2 points) 7) g(a) = -3|al – 1; Find g(2) 8) f(x) = 2x2 + 2x; Find (10) 9) h(t) = 531+3 + 1; Find h(0) 10) p(x) = 3.4 – 1; Find p(2) 11) h(x) = x2 – x; Find h(-31) 12) h(n) = 4n+ 2; Find h(-3n) 13) h(x) =-3|–2x - -11- – 2; Find h(–3x) 4 14) h(x) = 1 + *x; Find h| (3) 3 15) f(a) = a + -a; Find 2 a* (11) 16) $(x) --- 324; Find f(2) Perform the indicated operation. (Each worth 2 points) 17) g(n) = 4n - 2 18) f(t)=-3t+ 3 hin) = n2 + 1 g(t) = 13 – 12 Find (9) Find (f · g)(1) 19) h(t) = 2t+4 g(t) = 2t Find (h+g)(-9) 20) f(n)= = -n + 5 g(n) = 4n+ 4 Find (5 f - 4g)(-5) + 21) h(a) = 2a - 1 g(a) = a - Find (hºg)(10) -4 Solve. 1) (Worth 6 points) A plumber charges $50 to make a house call. He also charges $25.00 per hour for labor. a) Write an equation that you could use to the amount a plumber charges for a house call based on the number of hours of labor. b) How much would it cost for a house call that requires 2.5 hours of labor? c) If the bill from the plumber is $162.50, how many hours did the plumber work at your house? 2) (Worth 2 points) In Michigan, 12.70% of the population was not covered by health insurance in 2005. In 2008, the percentage of uninsured people dropped to 11.68%. Use the linear model to predict the percentage of people in Michigan that were not covered in 2013. (Source: Michigan Department of Community Health.) 3) (Worth 6 points) An internet service provider charges $18 per month plus an initial set-up fee. One customer paid a total of $81 after 2 months of service. a) Write an equation modeling this situation. b) What is the initial set-up fee? c) How much does it cost after 5 months of service? Find the domain of each function. (Each worth 2 points) 4) f(x) = -8x + 7 x - 3 5) h(x) = x² - 4 6) F(x) = x - 3 x² + 3x + 2 Evaluate each function. (Each worth 2 points) 7) g(a) = -3|al – 1; Find g(2) 8) f(x) = 2x2 + 2x; Find (10) 9) h(t) = 531+3 + 1; Find h(0) 10) p(x) = 3.4 – 1; Find p(2) 11) h(x) = x2 – x; Find h(-31) 12) h(n) = 4n+ 2; Find h(-3n) 13) h(x) =-3|–2x - -11- – 2; Find h(–3x) 4 14) h(x) = 1 + *x; Find h| (3) 3 15) f(a) = a + -a; Find 2 a* (11) 16) $(x) --- 324; Find f(2) Perform the indicated operation. (Each worth 2 points) 17) g(n) = 4n - 2 18) f(t)=-3t+ 3 hin) = n2 + 1 g(t) = 13 – 12 Find (9) Find (f · g)(1) 19) h(t) = 2t+4 g(t) = 2t Find (h+g)(-9) 20) f(n)= = -n + 5 g(n) = 4n+ 4 Find (5 f - 4g)(-5) + 21) h(a) = 2a - 1 g(a) = a - Find (hºg)(10) -4
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Explanation & Answer

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1)
a) 𝐴 = 𝟓𝟎 + 𝟐𝟓𝒉, where ℎ is the number of hours.
b) It is 𝐴(2.5) = 50 + 25 ∙ 2.5 = 𝟏𝟏𝟐. 𝟓𝟎 ($).
c) 162.5 = 50 + 25ℎ, ℎ =

2) The slope is 𝑚 =

162.5−50
25

11.68−12.70
2008−2005

=

=−

112.5
25

1.02
3

=

225
50

= 𝟒. 𝟓 (hours).

= −0.34 (%), so the predicted value is

11.68 + 𝑚 ∙ (2013 − 2008) = 11.68 − 0.34 ∙ 5 = 𝟗. 𝟗𝟖 (%).

3)
a) The equation is 𝐶 = 𝐼 + 18𝑚, where 𝐼 is the set-up fee and 𝑚 is the number of
months.
b) We know 81 = 𝐼 + 18 ∙ 2, so 𝐼 = 81 − 36 = 𝟒𝟓 ($).
c) After 5 it costs 45 + 18 ∙ 5 = 45 + 90 = 𝟏𝟑𝟓 ($).

4) All real numbers (no restrictions).
5) The ...


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