Quiz about Understanding Linear Functions Quiz

Question 1

Given the graph of a line, which of the following equations represents the line if the slope is 3 and the y-intercept is -2?

Accepted Answer

$$y = 3x - 2$$

Answer

$$y = 3x + 2$$

Answer

$$y = -3x + 2$$

Answer

$$y = -3x - 2$$

Question 2

A table shows the following values: (1, 4), (2, 7), (3, 10). What is the equation of the line that fits this data?

Accepted Answer

$$y = 3x + 1$$

Answer

$$y = 2x + 2$$

Answer

$$y = 3x + 2$$

Answer

$$y = 2x + 3$$

Question 3

Create a real-world context for the linear equation $$y = 5x + 10$$ .

Accepted Answer

A car rental company charges a flat fee of $$10\ and$$ 5 per mile driven.

Accepted Answer

A phone company charges $$10\ per\ month\ and$$ 5 per gigabyte of data used.

Answer

A bakery sells cakes for 10 delivery fee.

Answer

A gym membership costs $$5\ and\ a$$ 10 sign-up fee.

Question 4

If a line passes through the points (0, 3) and (4, 11), what is the equation of the line?

Accepted Answer

$$y = 2x + 3$$

Answer

$$y = \frac{1}{2}x + 3$$

Answer

$$y = 2x + 1$$

Answer

$$y = \frac{1}{2}x + 1$$

Question 5

Which of the following situations can be modeled by the equation $$y = 7x + 15$$ ?

Accepted Answer

A cell phone plan costs $$15\ per\ month\ plus$$ 7 per gigabyte of data.

Answer

A taxi service charges $$15\ for\ the\ first\ 3\ miles\ and$$ 8 for each additional mile.

Answer

A subscription service costs $$7\ per\ month\ with\ a$$ 15 sign-up fee.

Answer

A painter charges $$15\ per\ hour\ plus$$ 15 for materials.

Question 6

A line has a slope of -4 and passes through the point (0, 5). What is the equation of the line?

Accepted Answer

$$y = -4x + 5$$

Answer

$$y = 4x + 5$$

Answer

$$y = -4x - 5$$

Answer

$$y = 4x - 5$$

Question 7

Create a context for the linear function represented by the equation $$y = -2x + 8$$ .

Accepted Answer

A water tank is filled with 8 gallons and leaks 2 gallons per hour.

Answer

A store decreases the price of a product by $$2\ each\ day,\ starting\ at$$ 8.

Answer

A car travels at a speed of 8 miles per hour, decreasing by 2 miles per hour each hour.

Answer

A savings account starts with $$8 and decreases by $$ 2 each month.

Question 8

What is the equation of a line with a slope of $$\frac{1}{3}$$ and a y-intercept of -6?

Accepted Answer

$$y = \frac{1}{3}x - 6$$

Answer

$$y = \frac{1}{3}x + 6$$

Answer

$$y = -\frac{1}{3}x - 6$$

Answer

$$y = -\frac{1}{3}x + 6$$

Question 9

Which of the following scenarios can be described by the equation $$y = 10x + 50$$ ?

Accepted Answer

A phone plan costs $$50 per month with an additional $$ 10 per gigabyte of data.

Answer

A concert ticket costs $$50 with an additional $$ 10 service fee.

Answer

A car travels 50 miles per hour and increases speed by 10 miles per hour every hour.

Answer

A gym charges $$50 per month with a $$ 10 fee for each class attended.

Question 10

If a line has a slope of 0 and passes through the point (0, -3), what is the equation of the line?

Accepted Answer

Answer

$$y = 0x - 3$$

Answer

$$y = 0x + 3$$

Answer

Understanding Linear Functions Quiz

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