# Writing Linear Functions (Grade 9)

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## Writing Linear Functions

1.

A student collecting money for a charity is donating $12 of his own money. He asks friends to give $5 each. Write a rule in function notation to find how much he will donate in all. Let p represent then number of friends who give money.

- [math]f(p)=12p+5[/math]
- [math]f(p)=12+5p[/math]
- [math]f(p)=12+5+p[/math]
- [math]f(p)=17p[/math]

2.

What is the function rule of the total cost T(x) of x books, if each book costs $11.95?

- T(x) = 11.95x
- T(x) = 11.95 - x
- T(x) = x + 11.95
- T(x) = x - 11.95

3.

What is the function rule for the given set of ordered pairs?

{(0,1), (1,-4), (2,-9), (3,-14), (4,-19)}

{(0,1), (1,-4), (2,-9), (3,-14), (4,-19)}

- f(x) = x - 5
- f(x) = -5x - 4
- f(x) = 5x - 1
- f(x) = -5x + 1

4.

Troy wants to join Universal Gym. The gym charges a one-time membership fee of $50 and $24.50 per month. Write a function that represents this situation.

- [math]f(m) = 50m+24.50[/math]
- [math]f(m) = 50+24.50m[/math]
- [math]f(m) = 50m+24.50m[/math]
- [math]f(m) = 50+24.50[/math]

5.

The tree in Damien's backyard is 52 feet tall. It grows 0.6 feet per year. Write a function that represents this situation.

- [math]f(t) = 52t + 0.6[/math]
- [math]f(t) = 52 + 0.6t[/math]
- [math]f(t) = 52 + 9t[/math]
- [math]f(t) = 52t + 9[/math]

6.

Sam is saving money to buy himself a new phone. He currently has $95. He is able to save about $20 a week. Let [math]s[/math] represent how much money he has saved, and [math]w[/math] the number of weeks that have passed since the current date. Choose the correct function rule.

- [math]s(w) = 95 + 20w[/math]
- [math]s(w) = 95w + 20[/math]
- [math]w(s) = 95s + 20[/math]
- [math]w(s) = 95 + 20s[/math]

7.

What is the function rule for the following set of ordered pairs? [math]{ (-1, -7), (0, -4), (1, -1), (2,2), (3,5) } [/math]

- [math]f(x) = x - 6[/math]
- [math] f(x) = -3x -4[/math]
- [math]f(x) = 3x-4[/math]
- [math]f(x) = 1/3 x + 4/3[/math]

8.

Amy is given a book to read for her English class. The book is 560 pages long and she reads about 20 pages per day. Which function best describes how many pages she has left to read, if P is the number of pages left, and d is the number of days since she started the book?

- [math]P(d) = 20d[/math]
- [math]P(d) = 560 - 20d[/math]
- [math]P(d) = 560 + d[/math]
- [math]P(d) = (560 - 20)d[/math]

9.

Tim goes to the grocery store to buy some almonds. They cost $32.50 per kilogram. If [math]a[/math] represents the total cost of the almonds he buys in dollars and [math]w[/math] represents the weight of the almonds in kilograms, which of the following represents this relationship?

- [math]a(w) = 32.5w[/math]
- [math]a(w) = 32.5 + w[/math]
- [math]a(w) = w/32.5[/math]
- [math]w(a) = 32.5 a[/math]

10.

Tina and Chris are taking a road trip. The have traveled 50 miles so far. They are about to go onto a major highway with a posted speed of 65 mph. Which function represents the total distance they will travel (d, in miles) depending on the time (t, in hours) that they drive on the highway?

- [math]t(d) = 50 + 65d[/math]
- [math]t(d) =50d + 65[/math]
- [math]d(t) = 50d + 65[/math]
- [math]d(t) = 50 + 65t[/math]

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