Given:
The table of values is:
x : -7 -5 -3 -1
y : 5 9 13 17
To find:
Whether the given data is linear and then find the equation.
Solution:
The given data is linear if the slope and rate of change is constant.
Slope formula:

Using the slope formula. we get



Since the rate of change is constant, i.e., 2, therefore the given data is linear.
The slope of a linear equation is 2 and it passes through the point (-7,5). So, the equation of the line is:




Adding 5 on both sides, we get


Therefore, the equation for the given data is
.
Answer:
Blake will jog 12 blocks
Step-by-step explanation:
Allison : Blake = 3 : 2
If they keep jogging at the same rate, how many blocks will Blake jog if Allison jogs 18 blocks?
Allison : Blake = 18 : x
Equate the ratios
3 : 2 = 18 : x
3/2 = 18/x
Cross multiply
3 * x = 2 * 18
3x = 36
Divide both sides by 3
x = 36 / 3
= 12
x = 12
Blake will jog 12 blocks
Answer:
A. 
Step-by-step explanation:
We are given the functions f(x) and g(x) as,


It is required to find the function ( f+g ) i.e. ( f+g ) (x)
So, 
i.e. 
Hence, we get that
.
So, the first option is correct.
8 brownies divided by 5 people=8/5=1 3/5
Answer: $4.50
Step-by-step explanation:
6+6+3.5= 15.5 paid with a 20 so 4 dollars and 50 cents change