Writing Inequalites
Mariana wears her coat when shes at the sea because the temperature is colder than -4
Write an inequality that is true only for temperatures (t) at which Mariana wears her coat.
t < -4
(Since I have to get a membership to upload an image which is $20)
Is a function
What is the slope-intercept form?
y=mx+b
What are the 5 exponent rules?
Product rule, quotient rules, power rules, negative exponents, and zero rules.
John's goal is to go higher than sea level -7 by the end of the month.
The variable l is the number of sea levels John is at, at the end of the month.
Write an inequality in terms of l that is true only if John meets his monthly goal.
d > -7
Not a function
Write the equation of the line with slope 2 that has y-intercept 5.
y=2x+5
Rewrite this negative exponent formula as positive.
5y-3=5/y3
Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 in the account by the end of the summer. He withdraws $25 each week for food, clothes, and movie tickets.
500 - 25w > 200
(2, 4), (3, 9), (5, 11)
It is a function
Write the equation of the line with slope 3 that passes through the point (-1, 6).
y=3x+8
Which exponent rule do you use to solve this problem?(x3)2
Power rule
Mateo is purchasing tickets at the seaport. A ride requires 1 ticket and another ride requires 2 tickets. He has enough money to purchase a maximum of 20 tickets.
Write an inequality in standard form using the variables.
x + 2y < 20
(Since I have to get a membership to upload an image which is $20)
It is a function
What exponent rule do you have to use to solve this problem? x5/x3
Solve the problem
Quotient rule | x5x3=x(5−3)=x2
A tour director is hiring boats to transport a group of tourists across a river. He must make sure there is room for at least 40 passengers, the number of tourists in the group. A dinghy can seat 6 passengers and a flatboat can seat 1 passenger.
Write an inequality in standard form using the variables.
6x + y > 40
(Since I have to get a membership to upload an image which is $20)
Not a function
Why can you not use the slope-intercept formula (y=mx+b) to find the equation to a vertical line?
The slope of a vertical line is by definition undefined. There is nothing to substitute for m.
Solve:
(x4y2)3
x12y6
A quarterback throws a football at an initial height of 5.5 feet with an initial velocity of 35 feet per second.
Describe the shape of the graph.
By looking at the graph you can see there are two points of intersection.