NCM1 - EOC Practice Test Pt. 3

• 3x – 4y = –18

• 3x + 4y = 18

• 3x – 4y = –6

• 3x + 4y = 6

A club began with 3 members. Each month, each member brought one new member. Which function can be used to determine the number of members x months after the club began?

• f(x) = 2x + 3

• f(x) = 3x + 1

• f(x) = 1.5(2)^X

• f(x) = 3(2)^X

Every ten years, the US Census counts how many people are living in towns across the U.S. The 1950 census showed that 5000 people were living in Auckland and 1000 people were living in Zionville. The population of Auckland is predicted to increase by 5000 every ten years. The population of Zionville is predicted to double every ten years. If the predictions hold true, what will be the first census year that will show the population of Zionville as greater than the population of Auckland? Write your answer in the box. 

(a)  

Brock's gym offers two different membership plans. Members on the Gold Plan pay $10 per month of membership, plus a one-time $200 fee. Members of the silver plan to not pay an upfront fee, but pay $40 per month. What is the minimum number of months a person must hold their membership for the Gold Plan to be the better deal?

(a)  

Karen has two dogs. The larger dog weighs 1.4 pounds more than the smaller dog. The combined weight of the two dogs is 12.6 pounds. What is the weight, in pounds, of the smaller dog?

(a)  

Which choice could be modeled by a linear function?

• The amount of money, y, in an account x years earning 4% interest compounded annually.

• The monthly cost, y, to use a cell phone for x minutes at a rate of 4 cents per minute.

• The height, y, of a ball after bouncing x times, if each bounce reaches ²/₃ the previous height.

• The amount, y, of radioactive material after x years when decay occurs at a rate of 30% each year.

Oscar planted a tomato seed in his garden. Each day he recorded the height of the tomato plant. During which interval did the tomato plant grow the fastest?

• Day 4 to Day 6

• Day 6 to Day 8

• Day 8 to Day 10

• Day 10 to Day 12

The width of a rectangle is ³/₄ its length. The perimeter of the rectangle is 420ft. What is the length, in feet, of the rectangle?

(a)  

• (–5, 0)

• (–3, –20)

• (2, 35)

• (6, 79)