Answer:
d. linear; $25/hour
Step-by-step explanation:
From looking at the graph, we have that renting for 2 hours costs $50, for 4 hours costs $100, for 6 hours costs $150, and for 8 hours costs $200. To find out whether the quantities described in the table are linear, we have to see if there is a constant rate of change of price.
For hour 2 to hour 4, we can see that the price increases by $50. This is the same for hour 4 to hour 6 and hour 6 to hour 8. For every 2 hour time interval, the price increases by $50. Therefore, there is a constant rate of change and the quantities described in the table are linear.
Now we have to find the constant rate of change per hour. We know that the price increases by $50 every 2 hours, so, by dividing both the hours and price increase by 2, the price increases by $25 per hour. So the constant rate of change is $25/hour.
Linear. $25/hour
Answer choice d.
I hope you find my answer and explanation to be helpful. Happy studying.
Step-by-step explanation:
f(3)=?
f(x)=2x+5
put x=3,
f(3)=2(3)+5=6+5=11
------------
g(2)=?
g(x)=x^2-3
put x=2,
g(2)=2^2-3=4-3=1
-----------------
g(f(-1))=?
g(x)=x^2-3
and f(-1)=2(-1)+5= -2+5=3
so g(f(-1))=3^2-3=9-3=6
----------------
f(g(-1))=?
f(x)=2x+5
g(x)=g(-1)=(-1)^2-3=1-3= -2
f(g(-1))=2(-2)+5= -4+5=1
----------------
g(f(x))=?
g(x)= x^2-3
put x=f(x),
g(f(x))=f(x)^2-3=(2x+5)^2-3=4x+25+20x-3=24x+25
Answer: r = -5/18
Step-by-step explanation: You solve -3(1+6r)+12=14
-3-18r+12=14 (When distributed)
-18r+9=14
-18r=5
r=-5/18
