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The value of "a" is 4
<em><u>Solution:</u></em>
<em><u>Given expression is:</u></em>
The above expression involves variables and constants
A variable is a symbol that represents an unknown number
Here the variable is "a"
Constants are fixed numbers like 1, 2 etc
<em><u>From given expression:</u></em>
Move the varibale "2a" from right side to left side of equation
When, 2a is moved from R.H.S to L.H.S, it becomes -2a
Now move the constant -2 from left side to right side of equation
Similarly, when -2 is moved from L.H.S to R.H.S, it becomes +2
Now add the variables on left side of equation
Now add the constants on right side of equation
Cancel the negative sign on both sides of equation
Thus the value of "a" is 4
For this case, the first thing we must do is define variables.
We have then:
t: the time in minutes
k: the number of kilometers
The relationship between both variables is direct.
Therefore, the function is:
Where, "c" is a constant of proportionality.
To determine "c" we use the following data:
After running for 18 minutes, she completes 2 kilometers.
Substituting values:
Clearing c we have:
Then, the equation is given by:
Answer:
An equation that can be used to represent k, the number of kilometers Julissa runs in t minutes is: