Please consider the attached graph.
We have been given that Ben is eating some pretzels and an entire small package of mustard as a snack. We are asked to find the equation that represents the relationship between the number of pretzels that Ben eats, x, and the total amount of sodium in his snack, y.
First of all, we will find the slope of the line using points (1,80) and (5,140).



Now we will use point-slope form of equation
, where m represents slope of line and point
is on the line.
We will substitute
and coordinates of point (1,80) in above equation.



Therefore, the equation
represents the relationship between the number of pretzels that Ben eats and the total amount of sodium in his snack.
Answer:
a) About 12%
Step-by-step explanation:
We need to find the interest rate required to achieve her goal, so we will need to use the interest-compound formula:

Where:
PV= Present Value
i= interest rate
FV= Future Value
n= number of periods
replacing the data provided:

solving for i:
first, divide both sides by 50.000 to simplify the equation:

Take
roots of both sides:
±![\sqrt[10]{3}](https://tex.z-dn.net/?f=%5Csqrt%5B10%5D%7B3%7D)
solve for i:
±![\sqrt[10]{3} -1](https://tex.z-dn.net/?f=%5Csqrt%5B10%5D%7B3%7D%20-1)
We get two answers, but we look for a coherent value. So we take the positive one:
≈12
Well, as you can see from the rectangle RT and SW should have equal lengths. So to find the value of x, we need to do.....
4x + 10 = 5x - 20
-x + 10 = -20 (Subtraction property of equality)
-x = -30 (Subtraction property of equality)
x = 30 (Division property of equality)
To check our work:
4(30)+10 = 130
5(30)-20 = 130
So, the value of x is 30!
Answer:
2400 lbs
Step-by-step explanation:
To find the best estimate, you have to round the numbers to the nearest ten.
39 -> 40
58 -> 60
40 x 60 = 2400
P = It is a weekend
Q = I will exercise
If "It is a weekend", then "I will exercise"
But "It is NOT a weekend"
Therefore, "I will NOT exercise"
Using P and Q our statement would look like this,
If P, then Q
But not P
Therefore not Q
Or symbolically like this:
P -> Q
~P

~Q
I'm sorry that this doesn't match up with the options you posted.
Maybe they didn't paste correctly.