An atlas contains a map of Ohio. The table shows data from the key on the map.
1 answer:
Answer:
The answer is below
Step-by-step explanation:
a) The graph is attached
b) The table shows a linear relationship between x and y.
A linear equation is in the form y = mx + b, where y is a dependent variable, x is an independent variable, m is the rate of change (slope) and b is the value of y when x = 0.
x represent the distance on map in mm and y represent the actual distance in mile. The table (x, y) has the points (10, 25) and (20, 50). The equation is given by:
The slope m = 2.5. This means that for every 1 mm on the map, the actual distance increases by 2.5 miles.
c) y = 2.5x
put x = 48 mm
y = 2.5(48)
y = 120 miles
The actual distance between Toledo and Columbus is 120 miles
d) y = 2.5x
Put y = 225 miles
225 = 2.5x
x = 225/2.5
x = 90 mm
The distance on map between Cincinnati and Cleveland is about 90 mm.
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Answer:
NP= 9
Step-by-step explanation:
MP = 15
MN = 6
Let NP be x
MN+NP=MP
6+x=15
x=15-6
x=9
The value of NP is 9
Hello!
The problem has asked that we write a point-slope equation of the line in the image above. Point-Slope Form uses the following formula:
y –
= m(x – 
)
In this case, M represents the slope while
and 
represent the corresponding X and Y values of any given point on the line.
We are given that the slope of the line is -
. We also know that any given point on a graph takes the form (x,y). Based on the single point provided in the image above, we can determine that 
is equal to 6 and 
is equal to 2. Now insert all known values into the point-slope formula above:
y – 2 = -(x – 6)
We have now successfully created an equation based on the information given in the problem above. Looking at the four possible options, we can now come to the conclusion that the answer is C.
I hope this helps!
The problem has asked that we write a point-slope equation of the line in the image above. Point-Slope Form uses the following formula:
y –
In this case, M represents the slope while
We are given that the slope of the line is -
y – 2 = -
We have now successfully created an equation based on the information given in the problem above. Looking at the four possible options, we can now come to the conclusion that the answer is C.
I hope this helps!