Day 4 Sequences HW

1.     Which one of the plans follows an arithmetic pattern? Explain how you arrived at your answer.

• Josh, because it is constantly increasing.

• Jillian, because it is increasing at a constant rate.

• Josh, because it starts higher.

• Jillian, because it starts lower.

Tags

CCSS.HSF.BF.A.2

2.     Write a recursive definition to represent the number of miles run each week for the duration of the plan you chose.

• a₁ = 10; a_n = a_n-1 + 1

• a₁ = 10; a_n = a_n-1​ + 2

• a₁ = 9; a_n = a_n-1​ + 1

• a₁ = 10; a_n = a_n+1​ + 2

Tags

CCSS.HSF.IF.A.3

3. Jillian’s plan has an alternative if Elaina wanted to train instead for a full 26-mile marathon. Week one would start at 13 miles and follow the same pattern for the half-marathon, but it would continue for 14 weeks. Write an explicit formula, in simplest form, to represent the number of miles run each week for the full-marathon training plan.

• a₁ = 13; a_n = a_n-1​ + 1 

• a_n = 13 +  1(n - 1)

• a_n = 12 + n 

• a_n = 9 + n

Tags

CCSS.HSF.BF.A.2

4. Check all equations that would work...

• h(n) = 1.5 + 1.5(n - 1)

• h(n) = 1.5n + 3

• h(n) = 1.5n + 1.5

• h(1) = 3; h(n) = h(n - 1) + 1.5

• h(n) = 3 + 1.5(n - 1)

Tags

CCSS.HSF.IF.A.3

5. In 2013, the United States Postal Service charged $0.46 to mail a computations. letter weighing up to 1 oz. and $0.20 per ounce for each additional ounce. Which function would determine the cost, in dollars, c(z), of mailing a letter weighing z ounces where z is an integer greater than 1?

• c(z) = 0.2(z – 1) + 0.46

• c(z) = 0.46(z – 1) + 0.20

• c(z) = 0.46z + 0.20

• c(z) = 0.20z + 0.46

Tags

CCSS.HSF-BF.A.1A

Alicia has invented a new app for smart phones that two companies are interested in purchasing for a 2-year contract.  Company A is offering her $10,000 for the first month and will increase the amount each month by $5000.  Company B is offering $500 for the first month and will double their payment each month from the previous month.  Monthly payments are made at the end of each month.  For which monthly payment will company B’s payment first exceed company A’s payment?

• 7

• 6

• 8

• 9

Tags

CCSS.HSF.BF.A.2