Problem 1
Use the formulas for perimeter and area to answer the following questions.
a. The side of a square is 5 centimeters. What is its perimeter?
b. A rectangle is 23 inches long and 35 inches wide. What is its area?
c. The adjacent sides of a rectangle are 6 and 8 centimeters, respectively.
What is the perimeter of the rectangle?
d. A square measures 15 inches on each side. What is the area of this square?
Problem 5
The formula \(h=80 t-16 t^{2}\) gives the height above the ground at time \(t\)
for a ball that is thrown straight up in the air with an initial velocity of
80 feet per second.
a. Complete a table of values for the following input values: \(t=0,1,2,3,4,\)
and 5 seconds.
b. Plot the input/output pairs from the table in part a on the coordinate
system, and connect them in a smooth curve.
c. Use the graph to estimate how high above the ground the ball will get.
d. From the graph, when will the ball be 100 feet above the ground?
e. When will the ball hit the ground? Give a reason for your answer.
Problem 10
Use the given formulas to determine the results.
In general, temperature is measured using either the Celsius (C) or Fahrenheit
(F) scales. To convert from degrees Celsius to degrees Fahrenheit, use the
following formula.
$$F=(9 C \div 5)+32$$
a. Use the formula to convert \(20^{\circ}\) Celsius into degrees Fahrenheit.
b. \(100^{\circ} \mathrm{C}\) is equal to how many degrees Fahrenheit?
Problem 12
The distance an object travels is determined by how fast it goes and for how
long it moves. If an object's speed remains constant, the formula is \(d=r t,\)
where \(d\) is the distance, \(r\) is the speed, and \(t\) is the time.
a. If you drive at 50 miles per hour for 5 hours, how far will you have
traveled?
b. A satellite is orbiting Earth at the rate of 250 kilometers per minute. How
far will it travel in 2 hours?
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Problem 12
Solve each problem by applying the four steps of problem solving. Use the
strategy of solving an algebraic equation for each problem.
You need to drive 440 miles to get to your best friend’s wedding. How fast
must you drive to
get there in 8 hours?
Problem 16
Solve each problem by applying the four steps of problem solving. Use the
strategy of solving an algebraic equation for each problem.
A rectangle that has an area of 357 square inches is 17 inches wide. How long
is the rectangle?