2. in a relationship between variables, what is the variable called that changes in response to another variable?

a. function
b. input function
c. independent variable
d. dependent variable
3. a lawn care company charges a $10 trip fee plus $0.15 per square foot of x square feet of lawn for fertilization. which equation represents the relationship?

a. x = 0.10y + 15
b. y = 0.15x + 10
c. y = 10x + 0.15
d. x = 10y + 0.1

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation: