A linear function represents Caitlin's income. She earns $35 plus $8 for each item she sells. Determine whether each point is on the graph of her earings, y, as a function of a number of items sold, x. select each ordered pair that is on the graph.
a. (7,91)
b. (11.121)
c. (9,110)
d. (4,67)
e. (5,72)
f. (3,59)
The linear function we are dealing with is :
y = 8x + 35
So....just put the first value for each ordered pair into the equation for x and see if it produces the second value of the ordered pair....if it does, that point is on the graph...
For instance....for the point (7, 91) we have
y = 8(7) + 35 = 56 + 35 = 91.......so this point is on the graph......
The linear function we are dealing with is :
y = 8x + 35
So....just put the first value for each ordered pair into the equation for x and see if it produces the second value of the ordered pair....if it does, that point is on the graph...
For instance....for the point (7, 91) we have
y = 8(7) + 35 = 56 + 35 = 91.......so this point is on the graph......
For this kind of problem, I recomend you write the function out. I'll demonsrate for you:
Since she earns $35 that's a constant (meaning no variable goes with it) and $8 for every item that she sells (let the # items equal x since $8 is the coeffecient of the # of items she sells). y of course will be her total earnings. Using this information you should obtain the equation:
$35 + $8x = y
Now use the "coordinates" to plug in solutions for x and y.
Hope I helped you understand the concept. c: