FGR2.2 Linear Functions
It costs an appliances company an initial flat rate of $21.90 to request a shipment of products, with an additional $3.60 charged per item. Write an equation in slope-intercept form where x represents the number of items manufactured, and y represents the total cost of the appliances.
y = 21.90 + 3.60x
Evaluate f(-3). f(x) = 2x + 4
f(-3) = -2
True or False: A point in the double shaded region is a solution to the inequality set.
True
Is the sqrt of 3 irrational or rational?
irrational
What is the slope and y-intercept? y = -2x + 13
A bike rental service charges a $15.40 initial flat rate and then an additional $3.70 per hour. In this situation, what is the value of the slope?
$3.70
Evaulate f(x) = 24 f(x) = 2x + 4
10
Is (-2, 2) a solution to y > 4x + 2 and y < -2x + 2?
Yes
Is 3.4 irrational or rational?
rational
What is the slope
x f(x)
0 -1
2 0
6 2
1/2
Zahra is giving all of her students a pop quiz. The following equation y = -1.3x + 20 models the relationship between the number of students still taking the quiz, y, and the number of minutes since the quiz has begun, x, What is the correct interpretation of the y-intercept?
At 0 minutes, 20 students are taking the quiz. OR at the start 20 students are taking the quiz
Find f(-4) if f(x) = 20 - 40/x
Is (-1, 4) a solution to y > 4x + 2 and y < -2x + 2?
No
Is sqrt81 + sqrt100 irrational or rational?
rational
Which situation could be modeled by function with a domain of all positive integers?
a) the distance a runner has moved during a race as a function of time since the race started
b) the amount of fish food required in a a fish tank as a function of the number of fish in tank
b
Zahra is giving all of her students a pop quiz. The following equation y = -1.3x + 20 models the relationship between the number of students still taking the quiz, y, and the number of minutes since the quiz has begun, x. Predict how many students are stilling quizzing after 10 minutes.
7 students
Find h(-1/4) when h(x) = -8x + 10
12
Is (-1, 4) a solution to y > 4x + 2 and y less than or equal to -2x + 2?
yes
Is 4sqrt5 * 16 irrational or rational?
irrational
A restaurant makes 2 kinds of breads: plain and cheesy. An order of plain bread requires 2 pounds of dough, An order of cheesy bread requires 3 pounds of dough and 1 pound of cheese. The restaurant has 80 pounds of dough and 20 pounds of cheese each day. Write the system of inequalities.
2x + 3y less than or equal to 80
y less than or equal to 20
Ximena creates a model to predict her grade percentage on a science test based on the number of minutes she studies. It is represented by the equation below, where f(t) is the time studied in minutes. Use the equation to predict Ximena's grade if she studies for 2 hours. Round your answer to the nearest integer.
f(t) = 1/8t + 55
70%
Determine if the following function is linear or non linear?
x y
9 -2
10 8
11 4
12 8
Non linear
In order to prepare for your summer bash, you go to the supermarket to buy hamburgers and chicken. Hamburgers cost $2 per pound and chicken costs $3 per pound. You have no more than $30 to spend. You expect to purchase at least 3 pounds of hamburgers.
2x + 3y less than or equal to 30
x + y greater than or equal to 3
The product of 5 and 2/11 is irrational or rational?
rational
Find f(-2/3) f(x) = 10x + 2/3
-6