Quiz At Home

Title: Linear Functions

Grade: 1300-a Lesson: S1-L3

Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the ten problems using the Quiz Sheet. Then submit the quiz to get the score. This is a good exercise to check your understanding of the concepts.

Quiz: at Home

Problem Id Problem Options

1

According to a model, the head width, in millimeters, of a worker bumblebee can be estimated by adding 0.6 to four times the body weight of the bee, in grams. According to the model, what would be the head width, in millimeters, of a worker bumblebee that has a body weight of 0.5 grams?

A) 2.6

B) 3

C) 3.6

D) 4.6

2

A team of workers has been moving cargo off of a ship. The equation below models the approximate number of tonsof cargo, y, that remains to be moved x hours after the team started working. y = 120 - 25x The graph of this equation in the xy-plane is a line. What is the best interpretation of the x-intercept in this context?

A) The team has been moving about 4.8 tons of cargo per hour.

B) The team will have moved all the cargo in about 4.8 hours.

C) The team has been moving about 25 tons of cargo per hour.

D) The team started with 120 tons of cargo to move.

3

A linear model estimates the population of a city from 1991 to 2015. The model estimates the population was 5 thousand in 1991, 224 thousand in 2011, and x thousand in 2015. To the nearest whole number, what is the value of x?

A) 357

B) 397

C) 257

D) 297

4

Caleb used the juice to make popsicles. The function f(x) = -5x + 30 approximates the volume, in fluid ounces, of juice Caleb had remaining after making x popsicles. Which statement is the best interpretation of the y-intercept of the graph of y = f(x) in the xy-plane in this context?

A) Caleb used approximately 5 fluid ounces of juice for each popsicle.

B) Caleb had approximately 5 fluid ounces of juice when he began to make the popsicles.

C) Caleb used approximately 30 fluid ounces of juice for each popsicle.

D) Caleb had approximately 30 fluid ounces of juice when he began to make the popsicles.

5

w(t) = 300 - 4t
The function w models the volume of liquid, in milliliters, in a container seconds after it begins draining from a hole at the bottom. According to the model, what is the predicted volume, in milliliters, draining from the container each second?

A) 300

B) 296

C) 75

D) 4

6

A company’s revenue function is given by R(x) = 4x − 200 where x is the number of units sold. The company’s cost function is C(x) = 2x + 100. Find the break-even point, where revenue equals cost.

A) 100 units

B) 120 units

C) 150 units

D) 130 units

7

A shop sells two types of pens: regular pens cost $2 each, and premium pens cost $3 each. If the shop sold a total of 300 pens and made $750, how many of each type of pen did they sell?

A) 249 regular and 250 premium pens.

B) 150 regular and 150 premium pens.

C) 251 regular and 250 premium pens.

D) 152 regular and 150 premium pens.

8

Find the point of intersection of the lines y = 2x + 3 and y = −3x + 5.

A) \$ (2/5), (19/5) \$

B) \$ (12/5), (19/5) \$

C) \$ (21/5), (19/5) \$

D) \$ (4/5), (21/5) \$

9

A model predicts that a certain animal weighed 241 pounds when it was born and that the animal gained 3 pounds per day in its first year of life. This model is defined by an equation in the form f(x) = a + bx, where f(x) is the predicted weight, in pounds, of the animal x days after it was born, and a and b are constants. What is the value of a?

A) 241

B) 260

C) 251

D) 243

10

Given the linear function f(x) = 2x + 3, determine its slope and y-intercept.

A) 3 and 4

B) 1 and 2

C) 2 and 3

D) 0 and 1


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