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A 5 mile cab ride cost 7.20 a 9 mile cab ride cost 11.60 find a linear equation that models a relationship between cost c and distance d
Stacey Warren - Expert brainly.com
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The distance d is equivalent to the x variable, and the cost c is equivalent to the y variable. So we can find the slope from the ordered pairs (5, 7.2) and (9, 11.6).
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Not really. The numerator simplifies to 4.4 and the denominator simplifies to 4. What did you get?
its a correct
m = 4.4/4 = 1.1
Now we have a value for m, the linear equation can be written as:
c = 1.10d + b
where b is a constant that needs to be found by substition as follows:
7.2 = (1.10 * 5) + b ........(1)
Can you solve equation (1) tnd the value of b ?
I got d
Well you can find that d is the correct choice without finding the value of the constant.
But you will learn more by finding the value of b.
We have two points (5, 7.20) and (9, 11.60)
So use the slope formula to get
m = (y2-y1)/(x2-x1)
m = ( 11.60- 7.20)/(9-5)
m = (4.4)/4
m = 1.1
So the slope of the line that passes through the two points is 1.1