Question

8. Jefferson received a Star Wars X-Wing Lego set for Christmas. The equation y - 555 = -22(x - 12) represents y as a function of x, where y is the number of Lego piec Jefferson has left to build and x is the number of minutes he has been building. Use this information to mark a-c as true or false. If false, rewrite the statement correctly. 1.Jefferson removes 22 lego pieces a minute from the box.

Answer 1

The given statement is true; Jefferson removes 22 lego pieces a minute from the box, as indicated by the slope of -22 in the rearranged equation y = -22x + 819.

Step-by-step explanation:

The given equation y - 555 = -22(x - 12) can be used to determine whether the statement "Jefferson removes 22 lego pieces a minute from the box" is true or false. To do this, we rearrange the equation into the form y = mx + b where m represents the slope and b the y-intercept. First, we distribute the -22 into the parentheses: y - 555 = -22x + 264. Then, we add 555 to both sides of the equation to solve for y: y = -22x + 819. The slope m equals -22, which indicates the number of lego pieces removed per minute. Therefore, the statement is true, as the slope indicates that Jefferson removes 22 lego pieces per minute from the box.

Answer 2

we have the equation

y-555=-22(x-12)

this is the equation of the line in point slope form

where

m=-22

point (12,555)

Verify each statement

a) is true

b) is false

the number of pieces of lego is the y-intercept

so

the value of y when the value of x is equal to zero

For x=0

substitute in the equation above

y-555=-22(0-12)

y-555=264

y=264+555

y=819 pieces

therefore

the number of pieces is 819

c) is true