Problem 5
Translate each statement into an equation and then solve the equation for the
unknown number.
Fifteen subtracted from a number is 45.
Problem 5
Over the first 3 months of the year you sold \(12,15,\) and 21 SuperPix digital
cameras. The total in sales was \(\$ 9360\).
A. Let \(p\) represent the price of one SuperPix digital camera. Write the
equation for your total in sales over these 3 months.
B. Solve the equation in part a to determine the retail price of the SuperPix
digital camera.
C. This month you sell 10 of these cameras. What is your total in sales?
Problem 5
Solve the following equations by applying the fundamental principle of
equality. Remember to check your solution.
a. \(35+x=167\)
b. \(14 v=700\)
c. \(w-27=101\)
d. \(1350=15 y\)
e. \(s+66=91\)
f. \(33=p-11\)
g. \(325 g=650\)
h. \(0=d-42\)
i. \(15 r=555\)
j. \(3721=1295+x\)
k, \(477=9 y\)
l. \(826=z-284\)
m. \(16 w=192\)
n. \(x+439=1204\)
o. \(32,065=5 t\)
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 6
The formula \(d=50 t\) determines the distance, in miles, that a car travels in
\(t\) hours at a steady speed of 50 miles per hour.
a. Complete a table of values for the input values: \(t=0,1,2,3,4,\) and 5
hours.
b. Plot the input/output pairs from the table in part a on the following grid.
Choose uniform scales on each axis that will allow you to clearly plot all
your points.
c. How long does it take to travel 200 miles?
Problem 6
Translate each statement into an equation and then solve the equation for the
unknown number.
The prime factors of 237 are 79 and an unknown number.
Problem 7
Translate each statement into an equation and then solve the equation for the
unknown number.
13 plus an unknown number is equal to 51.
Problem 7
a. determine what variable quantity or quantities represent input and what
variable quantity represents the output;
b. choose appropriate letters to represent each variable quantity and write
what each letter represents;
c. use the letters to translate each verbal rule into a symbolic formula;
d. use the formula to determine the result.
Profit is equal to the total revenue from selling an item minus the cost of
producing the item. Determine the profit if the total revenue is 400,000
dollar and the cost is 156,800 dollar
Problem 8
a. determine what variable quantity or quantities represent input and what
variable quantity represents the output;
b. choose appropriate letters to represent each variable quantity and write
what each letter represents;
c. use the letters to translate each verbal rule into a symbolic formula;
d. use the formula to determine the result.Net pay is the difference between a
worker's gross income and his or her deductions.
A person's gross income for the year was 65,000 dollar and the total
deductions were 12,860 dollar. What was the net pay for the year?
Problem 8
Translate each statement into an equation and then solve the equation for the
unknown number.
The difference between a number and 41 is 105.
