Question

Question is in attachment. please answer quickly.

Answer 1

Answer:

Ques 4) option: B

Ques 5) option:C

Ques 6) option:C

Ques 7) option:B

Step-by-step 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:

$f(2)=\dfrac{1}{5}$

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.