Q1. Write the expression for a linear function that relates variable y to variable x.
Q2. In a graph of a linear function, what does the y-intercept and slope interpret about the
function.
Q3. In a linear function, f(x)=
, find f( 2) and f(3).
Q4. Graph the linear function that relates f(s) to t given by expression f(s)= 5t+20
Q5.Write 2x+3y=1 in function form.
Q6. Make a table of values for the function y=120-7x.
Q7. The function that relates the temperature(t) in Fahrenheit to the number of hours(h) is
given by t=30+4h. What will be the temperature in 3 hours?
Q8. Jack has 8 souvenirs in his collection. He decides on every vacation he will buy 2
souvenirs from that place. Write an expression that relates number of souvenirs in his
collection to the number of vacations.
Q9. From the graph find the initial income of the family:
Q10. Sam rents a car at $3.50 per hour. He also charges an additional amount of $15. Write
an expression that relates the cost of rent(c) of car to the number of hours(h)
Q11.Write five ordered pairs for the function f(x)=
Q12.Consider the two linear functions that relate y to x :
Function1. y=-3x+4
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Function2.
x 1 2 3
y -1 -3 -5
Which function has a negative slope?
Q13. From the following table of linear function find the initial value and rate of change:
x 0 1
2
y 2 2.5 3
Q14. The following graph relates number of postcards collected (p) to the number of
weeks(w). Find the y-intercept and slope. What do they interpret?
Q15. Analyze the two linear functions and find graph of which function will have a steeper
slope.
Function1.
x 1
2 3
y 4.5 8 11.5
Function2. y=3x+5
Q16.The given function relates the number of pages (p)left in a book to be read by Bill to the
number of hours( h) he reads, p= 372 30h. Find the initial number of pages in a book and
rate of change. Explain what does rate of change interpret ?
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Q17. From the function c=
, complete the following table of values:
c 12 ?
m ?
6
Q18.Draw the graph of the function y=54-3x.
Q19.A car is travelling at a rate of 13.5km/h. The following expression relates distance (s) to
time (t), s=13.5t
(i) How much distance is covered in 8 hours?
(ii) Car travels 324 km. in how many hours.
Q20. For the function f(x)= 6.5x + 5.25, find value of f( 1.2) and f( 0) .
ANSWERS :
A1. y= mx+b
A2. y- intercept b gives the initial value and rate of change shows the change in dependent
variable (increase or decrease) as the independent variable increases.
A3. 22; -13
A4.
A5. y =
A6.
x 0
1
2
3
y 120 113 106 99
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A.7 t=42°F
A8.y=2x+8
A9. Initial income=$5500
A10. c=3.50h+15
A11. (0,5), (1,5.5), (2,6), (3,6.5), (4,7)
A12. Both functions have negative slope.
A13.initial value=2, rate of change=0.5
A14. Y-intercept is 15. It shows initially there were 15 postcards.
Rate of change is 5. It shows that by each passing week the number of postcards increased
by 5.
A15.Graph of function 1 has steeper slope.
A16. Number of pages in book are 372 and rate of change is -30 per hour. It me A Bill reads
30 pages in one hour. So by each passing hour the number of pages left for reading decrease
by 30.
A17.
c 12 9
m 12 6
A18.
A19. (i) 108km
(ii) 24 hours.
A20. 13.04; 5.25
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