The equation 10x + 3y = 90 is in standard form. This form tells us the x and y- intercepts easily.
What are the x and y-intercepts?
A. The x-intercept is (10,0) and the y-intercept is at (0,3).
B. The x-intercept is (3,0) and the y-intercept is at (0,10).
C. The x-intercept is (9,0) and the y-intercept is at (0,30).
D. The x-intercept is (1/9,0) and the y-intercept is at (0, 1/30)
The x-intercept is the point where the graph intersects the x-axis, which means that the value of y is 0. To find the x-intercept, we set y equal to 0 in the equation:
10x + 3(0) = 90
10x = 90
Dividing both sides by 10, we get:
x = 9
So the x-intercept is (9,0).
The y-intercept is the point where the graph intersects the y-axis, which means that the value of x is 0. To find the y-intercept, we set x equal to 0 in the equation:
10(0) + 3y = 90
3y = 90
Dividing both sides by 3, we get:
y = 30
So the y-intercept is (0,30).
Therefore, the correct answer is option C: The x-intercept is (9,0) and the y-intercept is at (0,30).