HELP!
1 answer:
Answer:
- a) j+c=310; j-c=40
- b) (j, c) = (175, 135)
- see attached
- Jose earned $175; Camden earned $135
Step-by-step explanation:
Let j and c represent Jose's and Camden's earnings, respectively.
(a) One equation can be written for the total; another for the difference:
j + c = 310 . . . . their total earnings
j - c = 40 . . . . . the difference in their earnings
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(b) It is convenient to add these two equations to eliminate c:
(j +c) +(j -c) = (310) +(40)
2j = 350
j = 175
Then c can be found as ...
c = j -40 = 175 -40 = 135
The solution is (j, c) = (175, 135).
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(c) Using x for j, and y for c, we can use Desmos to graph the equations. The result is attached.
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(d) Jose earned $175 over the summer; Camden earned $135.
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Answer:
Step-by-step explanation:
The slope-intercept form is y = mx + b, where:
m = slope
b = y-intercept.
The slope (m) tells you the steepness of the line. It is the average rate of change which measures how the y-value changes for each one-unit change in the x-value. Hence, slope . So the given slope of 1/5 means that for every 1 unit change in the y-value, the x-value changes by 5 units (you go up 1 unit, and "run" 5 units to the right).
Next, the y-intercept is the point on the graph where it crosses the y-axis, and has the coordinates, (0, b). It is also the value of y when x = 0. Since you're given the y-intercept of -9, then that means that it is the y-coordinate of (0, <em>b</em>). So, it becomes (0, -9).
Now that we have our slope (<em>m </em>) = 1/5, and the y-intercept (<em>b </em>) = -9, we can write the equation of the line as:
(I'm also including a screenshot of the line where it shows the y-intercept of (0, -9) on the graph).
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