Answer:
Ques 4) option: B
Ques 5) option:C
Ques 6) option:C
Ques 7) option:B
Explanation:
Ques 4)
The range of a function is the resulting y-values we get after substituting all the possible x-values.
Clearly from the figure we could see that the range of the function is:
-5<y<-2
the points -5 and -2 are not included as in the graph they are represented by a open circle.
Hence, option (b) is correct.
Ques 5)
Equation y=0.9x-45 represents the relationship.
from the table when we substitute x=50 then we get y=$0 only in the equation y=0.9x-45.
Hence, option C is correct.
Ques 6)
The rate of change means the slope of the equation.
Let y denotes the total cost of bike.
Let x denotes the number of hours bike has been rented so in equation form the total cost is given by:
y=8x+15 (As it was given that bike cost $15 plus $8 for per hour)-----(1)
Let y' denote the total cost of scooter.
Let x' denotes the number of hours scooter has been rented.
Hence, the total cost is given by:
y'=5x'+35 ( as it was given scooter cost $35 plus $5 per hour)----(2)
The slope for equation (1) is 8 (since on comparing with the slope-intercept form y=mx+c where m denotes the slope and c denotes the y-intercept)
The slope for equation (2) is 5.
The bike rental has a rate of change 8 which is greater than the rate of change of scooter rental.
Hence, option: C is correct.
Ques 7)
We are given:
and the recurrence relation is given as:
f(n+1)=f(n).10
hence, f(3)=f(2)×10=(1/5)×10=2
f(4)=f(3)×10=2×10=20
Hence, f(4)=20.
Hence, option B is correct.