Break-even point
Two airlines offer special group rates to your school’s Spanish Club for a trip to Mexico City. Mexican Air airlines offers a roundtrip airfare of $150 per person. Fiesta airlines offers a roundtrip airfare of $100 per person if the club agrees to pay a one-time group rate processing fee of $500.
Write the 2 equations
y = 150x
y = 100x + 500
Rearrange the equation into slope-intercept form and then tell me the slope and y-intercept of this equation.
8y= 2(3x- 5)
y = 3/4x - 5/4
so,
m = 3/4
b = -5/4
Leo runs a dog-walking service that charges a flat monthly fee plus an hourly rate for walks.In July, Leo walked a client's dog for a total of 6 hours, and the total bill was $87.00.In August, Leo walked the same client's dog for a total of 10 hours, and the total bill was $113.00.
Determine the y-intercept for the linear equation that models this situation and write it in coordinate form.
(0,48)
Determine the slope and y-intercept, then write the equation for the line that meets the conditions stated.
Passes through the points
(3, 5) and (-1, -7)
m = 3
b = -4
y= 3x - 4
Aaron participated in a 45-kilometer bike-a-thon to raise money for his favorite charity. He rode his bike 3.6 hours. What's his average speed
12.5 km/h
Two airlines offer special group rates to your school’s Spanish Club for a trip to Mexico City. Mexican Air airlines offers a roundtrip airfare of $150 per person. Fiesta airlines offers a roundtrip airfare of $100 per person if the club agrees to pay a one-time group rate processing fee of $500.
Calculate the number of students for which the total costs are the same and what is the cost?
(10 people, $1500)
Rearrange the equation into slope-intercept form and then tell me the slope and y-intercept of this equation.
6x+3/4y=12
y = -8x + 16
so,
m = -8
b = 16
A rental car company charges a daily base rate plus a fee for every mile driven. On Monday, a customer drove the car 150 miles and the total charge for the day was $82.50. On Tuesday, a different customer drove the car 240 miles and the total charge for the day was $96.00.
Determine the y-intercept for the liner equation that models this situation and write it in coordinate form.
(0,60)
Determine the slope and y-intercept, then write the equation for the line that meets the conditions stated.
Passes through the points
(-2, 10) and (4, -2)
m = -2
b = 6
y = -2x + 6
Aaron participated in a 45-kilometer bike-a-thon to raise money for his favorite charity. He rode his bike 3.6 hours.
Which is the independent variable?
Time or Hours
Two airlines offer special group rates to your school’s Spanish Club for a trip to Mexico City. Mexican Air airlines offers a roundtrip airfare of $150 per person. Fiesta airlines offers a roundtrip airfare of $100 per person if the club agrees to pay a one-time group rate processing fee of $500.
Which airline offers the better deal if only 9 students from the Spanish Club are able to fly to Mexico City? And what would the price be?
Mexican air is cheaper for 9 people. It is $1250
Fiesta airlines would be $1400 for 9 people.
Rearrange the equation into slope-intercept form and then tell me the slope and y-intercept of this equation.
6x + 2y = 10
y = -3x + 5
so,
m = -3
b = 5
A gym membership requires an initial sign-up fee plus a fixed monthly charge. In January, a new member had been signed up for 3 months and the total amount they had paid the gym was $195.In May, that same member had been signed up for a total of 7 months and the total amount they had paid the gym was $335.
Determine the y-intercept for the linear equation that models the total amount paid (y) as a function of the number of months (x) and write it in coordinate form.
(0,90)
Look at the table on the board.
What is the slope and the y-intercept.
look at the answer on the board
Aaron participated in a 45-kilometer bike-a-thon to raise money for his favorite charity. He rode his bike 3.6 hours.
If Aaron biked at his average speed for the ride, how far would he bike in 90 minutes?
18.75 km/h
Two airlines offer special group rates to your school’s Spanish Club for a trip to Mexico City. Mexican Air airlines offers a roundtrip airfare of $150 per person. Fiesta airlines offers a roundtrip airfare of $100 per person if the club agrees to pay a one-time group rate processing fee of $500.
How much would it cost if 20 people flew on Fiesta airlines?
$2500
Rearrange the equation into slope-intercept form and then tell me the slope and y-intercept of this equation.
5y = 10(2x - 3)
y = 4x - 6
so,
m = 4
b = -6
A scientist is tracking the temperature of a chemical solution as it cools. The cooling process is linear. The relationship models the temperature (y) as a function of time (x). After 5 minutes, the temperature of the solution was 92 degrees Celsius.After 12 minutes, the temperature of the solution was 71 degrees Celsius.
Determine the y-intercept for the linear equation that models this situation and write it in coordinate form.
(0,107)
Look at the table on the board.
What is the slope and the y-intercept.
look at the answer on the board
Aaron participated in a 45-kilometer bike-a-thon to raise money for his favorite charity. He rode his bike 3.6 hours.
If Aaron biked at his average speed for the ride, how long would it take him to bike
32.5 kilometers?
156 minutes