Concept explainers
a.
To write an expression for the given situation
a.
Answer to Problem 3.9STP
The equation for the given situation is,
Explanation of Solution
Given information: Total water is 160 gallons of water.
Water drains at 5 gallons per minute.
Concept Used:
Equation formation
Calculation:
Let, “x” be the number of minutes.
Substituting the values. Hence, the equation is,
Conclusion:
The equation for the given situation is,
b.
To evaluate what x and y represent.
b.
Answer to Problem 3.9STP
“x” represents the time and “y” represents the amount of water that drains out.
Explanation of Solution
Given information:
Equation is,
The “x” in the equation represents the time, that is, how much the water has been draining for. The units for x is minutes.
The “y” in the equation represents the amount of water that is left in the pool. The units for y is gallons
c.
To graph the function
c.
Explanation of Solution
Given information: Equation is,
Graph:
d.
To calculate how long does it take to empty the pool
d.
Answer to Problem 3.9STP
It takes 32 mins to drain out the pool.
Explanation of Solution
Given information: Equation is,
Calculation:
Concluding from the graph, checking the value of the point where the line meets x-axis. Hence, it takes 32 mins to drain out the pool.
To verify, substituting the values in the function,
Shifting right-hand side values to left hand side,
Cross-multiplying both sides,
On solving,
Comparing both the values.
Hence verified.
It takes 32 mins to drain out the pool.
Chapter ISG Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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