Answer:

Step-by-step explanation:
The car uses 15 gallons of gasoline to drive 420 miles.
(15 gal)/(420 mi) = 1/28 gal/mi
The car uses 1/28 gallon of gasoline per mile.
y = mx + b
When x = 0, at the start of the drive, the car has 15 gallons of gasoline.
y = mx + 15
Then for every mile it travels, the amount of gasoline goes down by 1/28 gal. For x miles of travel, it uses 1/28 * x gallons of gasoline.

Step-by-step explanation:
square of x is x2
Inverse of square of x is 1 / x2
So the equation would be:
y = k / x2
where k is a proportionality constant.
To find the value of k, plug in the known values for x and y: x=3, y=45
45 = k / 32 = k / 9
k=405
Now you have the full equation with proportionality factor.
y = 405 / x2
then, for x=5:
y = 405 / 52 = 405 / 25
y = 16.2
Answer: Hello the lengths of the pieces of wood is missing but I will provide the format for drawing a line plot which you can now plug in your own values .
answer :
First draw a number line containing all the values in the given data set
Place a dot on top every value contained in the given data set
place as many dots as possible representing the frequency of the value in the given dataset
Step-by-step explanation:
A line plot is simply a method of displaying given data on a number line
steps :
First draw a number line containing all the values in the given data set
Place a dot on top every value contained in the given data set
place as many dots as possible representing the frequency of the value in the given dataset
attached below is an example
There will be 450 students that will buy lunch today.
Fraction of students that'll buy lunch = 5/8.
Number of students in the school = 720
Number of students that'll buy lunch will now be = 5/8 × 720 = 450
Therefore, 450 students will buy lunch today.
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