Draw a pair of opposite rays
1 answer:
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The distance between the cities is 280 miles. The rule is y = 40x, where x is the distance in inches on the map and y is the distance in miles.
Step-by-step explanation:
Step 1:
The map's key shows that 5 inches on the map equal 200 miles of actual distance.
5 inches on the map = 200 miles of actual distance,
if we divide both sides by 5, we get;
1 inch on the map = 40 miles of actual distance.
Step 2:
If x is the distance on the map in inches and y is the actual distance in miles,
y = 40x.
If the map distance 7 inches, x = 7.
Substituting, x =7 in the equation, .
So the actual distance between the cities is 280 miles.
<u>Answer-</u>
<em>The value of y is when x=7 and z=4.</em>
<u>Solution-</u>
As given in the question, y is directly proportional to x, so
-----------------1
And also y is directly proportional to z, so
-----------------2
Combining equation 1 and 2,
Where,
k = proportionality constant
When x=6 and z=1, y=4. Putting theses values,
Now, we have to find the value of y, when x=7 and z=4
Therefore, the value of y is when x=7 and z=4.