1. A rental car company charges $150.00 for a weekly rental and an additional $0.20 for each mile driven. The function rule C=0.20m+150.00 describes the relationship between the number of miles driven m and the total cost C. If the rental car can only be driven a maximum of 200 miles, what is a reasonable graph of the function rule?
I just want to know what is the function rule. No graphs needed.
2. Tell whether the sequence is arithmetic. If it is, what is the common difference?
1, 1 1/6, 1 1/3, 1 1/2
a. yes; -1/6***
b. yes; 1/6
c. yes; 6
d. no
3. The function b(n)=6n represents the number of light bulbs b(n) that are needed for n chandeliers. How many lightbulbs are needed for 15 chandeliers?
a. 90***
b. 2
c. 96
d. 80
4. {(-8,-6),(-5,2),(-8,1),(7,3)}
Is this relation a function?
5. {(-3,-7),(-2,-7),(4,-7),(5,-7)}
Is this relation a function?
How would use that function rule to gain the graph?
Thankyou so much. This was really helpful. :)
You are welcome.
What value of coefficient b makes the equation true for any real number x?
-3(2x-3)+5x=bx+9
To make the equation true for any real x, the coefficients of x on both sides should be equal. So, we can equate the coefficients of x on both sides of the equation to find b.
-3(2x-3)+5x=bx+9
Expanding the left side:
-6x + 9 + 5x = bx + 9
Combining like terms:
-x + 9 = bx + 9
From here, we can see that the coefficient of x on the right side is b. To make the equation true for any x, the coefficient of x on both sides should be the same. So:
b = -1
1. C=0.20m+150.00
IS the function rule
2. wrong sign
3. right
4. there are two different y values at x = -8. Thus it is NOT a function
5. Sure, horizontal line y = -7