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Adam's Apple Farm charges $10 for admission to their farm for the 2019 spring season. This  includes ¼ peck bag of apples, a jar of cold apple cider, and a hayride to the orchard. Visitors can pick  additional peck bags of apples for $11.50 each.  Write a linear function that shows how the total cost of the farm visit depends on how many additional quarts you pick. Identify the slope and the intercept with their units.  If you pick five additional pecks, how much do you pay?  If you just enjoy the cider, ¼ peck bag, and the sunshine, how much do you pay?  Use your linear function to calculate how many additional pecks of apples you could pick if you paid  total amount of $56.

Adam's Apple Farm charges $10 for admission to their farm for the 2019 spring season. This  includes ¼ peck bag of apples, a jar of cold apple cider, and a hayride to the orchard. Visitors can pick  additional peck bags of apples for $11.50 each.  Write a linear function that shows how the total cost of the farm visit depends on how many additional quarts you pick. Identify the slope and the intercept with their units.  If you pick five additional pecks, how much do you pay?  If you just enjoy the cider, ¼ peck bag, and the sunshine, how much do you pay?  Use your linear function to calculate how many additional pecks of apples you could pick if you paid  total amount of $56.

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.CT: Test
Problem 19CT
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Adam's Apple Farm charges $10 for admission to their farm for the 2019 spring season. This  includes ¼ peck bag of apples, a jar of cold apple cider, and a hayride to the orchard. Visitors can pick  additional peck bags of apples for $11.50 each. 

  1. Write a linear function that shows how the total cost of the farm visit depends on how many additional quarts you pick. Identify the slope and the intercept with their units. 
  2. If you pick five additional pecks, how much do you pay? 
  3. If you just enjoy the cider, ¼ peck bag, and the sunshine, how much do you pay? 
  4. Use your linear function to calculate how many additional pecks of apples you could pick if you paid  total amount of $56.  
1.)Let, the number of quarts of bag of apple = x A linear function that shows how the total cost of the farm visit depends on how many additional quarts you pick is given by: 10, х <1 = y = |10+11.5(x-1),x>1 10, х <1 | 10+11.5x –11.5,x >1 10, х <1 11.5x +1.5,x > 1 Slope for x <1= 0 dollars per quart bag y- intercept for x<1 = (0,10)
Transcribed Image Text:1.)Let, the number of quarts of bag of apple = x A linear function that shows how the total cost of the farm visit depends on how many additional quarts you pick is given by: 10, х <1 = y = |10+11.5(x-1),x>1 10, х <1 | 10+11.5x –11.5,x >1 10, х <1 11.5x +1.5,x > 1 Slope for x <1= 0 dollars per quart bag y- intercept for x<1 = (0,10)
2.)Ifx = 5+1= 6: =y =11.5(6)+1.5 = y = 69 +1.5 = y = $70.5 3.)If you just enjoy the cider, 4 peck bag, and the sunshine, then the amount you pay is: = y = $10
Transcribed Image Text:2.)Ifx = 5+1= 6: =y =11.5(6)+1.5 = y = 69 +1.5 = y = $70.5 3.)If you just enjoy the cider, 4 peck bag, and the sunshine, then the amount you pay is: = y = $10
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