8. daniel works as a volunteer in a homeless shelter.
so far, he has worked 22 hours, and he plans to
continue working 3 hours per week. his hours worked
as a function of time is shown in the graph.

a. write an equation that represents the hours daniel
will work as a function of time.

b. identify the slope and y-intercept and describe their
meanings.
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c. find the number of hours worked after 16 weeks.

(the photo is the graph they supplied)

a. 3x + 22

b. slope is 3, y intercept is (0,22) this means points on graph rise 3 and run 1, this also means that in zero more weeks Daniel will have 22 hours of volunteering

c. 70 hours

Step-by-step explanation:

a. the slope is 3 so the coefficient and variable will be 3x, y intercept is (0,22) so the term would be + 22 together this is y=3x+22

b. just count points going up and horizontally for slope and y intercept is when x equals zero

c. look on the graph, the point is (16,70) in 16 weeks he will have 70 hours done

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180

idk

step-by-step explanation: