Jack borrowed $ 4,000.00 and paid $ 585.00
1 answer:
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There are two separate equations for this question that use the same variable.
Mary took 7 hours to complete a trip with traffic. This would use the following expression:
Mary took 4 hours to complete the same trip without traffic. The average rate of speed was 27 mph faster than the trip with traffic. This uses the following expression:
Both trips had the same distance. From the information provided, we can set up the following equation:
x represents the average rate of speed on both trips.
Distribute 4 to each term in parentheses:
Subtract 4x from both sides:
Divide both sides by 3 to get x by itself:
The average speed for the slower trip is 36 mph.
We can plug this value into the first equation:
Mary lives 252 miles away from the mountains.
Mary took 7 hours to complete a trip with traffic. This would use the following expression:
Mary took 4 hours to complete the same trip without traffic. The average rate of speed was 27 mph faster than the trip with traffic. This uses the following expression:
Both trips had the same distance. From the information provided, we can set up the following equation:
x represents the average rate of speed on both trips.
Distribute 4 to each term in parentheses:
Subtract 4x from both sides:
Divide both sides by 3 to get x by itself:
The average speed for the slower trip is 36 mph.
We can plug this value into the first equation:
Mary lives 252 miles away from the mountains.
Answer: 1; -5
Step-by-step explanation:
For this problem, we are asked to find the slope and y-intercept.
We see that this linear line goes through the y-axis at (0,-5). therefore, our y-intercept is -5.
To find the slope, we would use the formula . We can use the points (0,-5) and (5,0) since we can clearly see the line goes through these 2 points.
From our formula, we found that the slope is 1.
For the first box, you would fill in 1, the slope. The second box would be -5, the y-intercept.