Answer:
a. 
b Slope: 
or 
Step-by-step explanation:
The equation of a line that passes through the origin is:
Where "m" is the slope of the line.
By definition, Direct variation equations have the following form:
Where "k" is the Constant of variation.
Then, you can conclude that:
a. Let be "d" the distance in miles that the train travels per gallon.
You can observe in the graph that when the train travels 10 miles, it uses 100 gallons. Then, you can set up the following proportion:
Solving for "x", you get:
Then, it travels 0.1 miles per gallon.
b. The slope is also or . To check this, you can subsitute the coordinates of the point (100,10) into and solve for "m" in order to find its value.
This is:
Complete question :
A company rents out 15 food booths and 20 game booth at the country fair. The fr for a food booth is $200 plus $8 per day. The fee for a game booth is $65 plus $7 per day. The fair lasts d days and all the booths are rented for the entire time. Enter a simplified expression for the amount in dollars that the company is paid.
Answer:
4300 + 260d
Step-by-step explanation:
Given that :
Earning from Food booth cost :
Number of booth * cost
15(200 + 8d)
3000 + 120d
Earning from Game booth :
Number of booths * cost
20(65 + 7d)
1300 + 140d
Total sum :
Total earning from game booth and food booth
3000 + 120d + 1300 + 140d
3000 + 1300 + 120d + 140d
4300 + 260d
Answer:
Part 1) The rate of change is 
Part 2) The initial value is 68
Part 3) The function rule to the linear model is 
Step-by-step explanation:
we know that
The linear equation in slope intercept form is equal to
where
m is the slope or unit rate
b is the y-intercept or initial value
step 1
Find the slope
take two points from the table
(0,68) and (15,85)
The formula to calculate the slope between two points is equal to
substitute the values
In a linear function , the slope is the same that the rate of change
therefore
The rate of change is
step 2
Find the y-intercept
we know that
The y-intercept is the value of y when the value of x is equal to zero
Looking at the table
For x=0, y=68
therefore
The y-intercept is
The y-intercept is also called the initial value
therefore
The initial value is 68
step 3
Determine the function rule to the linear model
we have
substitute
In total there are 534 spaces, but 476 are occupied.
Occupied spots cannot be parked in.
The answer is 534 - 476, which equals 58 available spots.
Problem would be $424 x .40
and the answer would be <span>169.6 USD</span>
