PROPORTIONS
What is the acronym to solve triangles?
SOH CAH TOA
In a small business, 40 of the employees are men and 30 of the employees are women. What is the ratio of men to women? **SIMPLIFY IT!
40:30 = 4:3
In the interest formulas, what does "P" stand for?
Principal amount = starting investment
A carpenter charges a service fee of $30 and has a $12.30 hourly labor charge for jobs less than 6 hours. Any job requiring more than 6 hours of work has a $15.50 hourly labor charge. What does the carpenter charge for 4 hours of work?
$79.20
What is the inverse of sine?
**THINK OF the function to eliminate sine
sin^-1
Miranda used 8 gallons to drive 204 miles. How many miles per gallon (as a unit rate) did she average?
miles/gallon = 204/8 = 25.5
What do you always have to do to the rate before including it in the formula?
**AND HOW?
turn it into a decimal --> divide it by 100
Jorja joins a gym but wants to compare rates. She finds GYM1 which charges a $25 initial sign-up fee plus $20 per month. GYM2 charges a $45 initial sign-up fee and has a monthly rate of $15. How many months will it take for the gym membership prices to be the same?
Set equal to each other -->
25+20x = 45+15x
Thirty five ounces of milk contains twenty ounces of calcium. Suppose you were to graph a line to represent the relationship between ounces of milk and ounces of calcium. What would represent the slope of the line?
35/20 = 7/4 = 1.75 ounces of milk per one ounce of calcium
Simple Interest: P*r*t
Initial investment = $5000
rate = 35%
time = 5 years
$8750
T= -0.05y+12.4 --> what year will time fall below 10.6?
T=time in seconds
y=number of years after 2000
y=36
36 years after 2000 is 2036
5/3=275/x --> 165 gallons of gas
Which of the following represents the lowest cost per minute?
A. 200 minutes for $24.50
B. 550 minutes for $68.00
C. 700 minutes for $80.25
D. 850 minutes for $99.50
cost/minute = C
Compound Interest: P(1+r)^t
Initial investment = $640
rate = 7%
time = 4 years
$838.91
Jeff used 500 kWh of energy that totaled $23 for January and then used 700 kWh of energy that totaled $60 for February. Assuming the relationship is linear, what is the change in cost for every 1-kWh increase in energy?
slope = cost/energy = $0.19
Initially, a flower bed is 13 feet in length and 26 feet in width. Now, time to enlarge it! If it's enlarged to a length of 55 feet, how wide will the bigger flower bed be?
13/26=55/x --> 110 feet wide
Looking at a building --> Amy walks 100 feet away from the base of the building and looks to the top. She estimates that the angle of elevation to the top of the building is 75 degrees. How tall is the building?
TAN 75=x/100 --> 373 feet
With a ratio of 2:5:6 for carbohydrates, fiber, and protein --> if someone digests 13 grams of fiber, find the number of grams that should come from carbohydrates and protein.
protein --> 5/6=13/x --> 15.6
P*r/t
Initial amount = $500
rate = each month, charged 12% annual interest
time = one month
$60
Student council is planning to hold a fundraiser. They will need to purchase supplies for carnival games, at a total cost of $310. They will sell tickets for $10 each. How many tickets do they need to sell in order to raise at least $490?
80 tickets