Linear Equation Word Problem with Intercepts
The image contains a word problem about Maggie working two jobs and a linear equation derived from it, with questions asking to find the x-intercept and y-intercept for that equation. The given equation is:
15x + 14y = 630
Part (b) of the question asks to find the x-intercept and y-intercept for the equation.
To find the x-intercept, we set y to 0 and solve for x:
15x + 14(0) = 630
15x = 630
x = 630 / 15
x = 42
So the x-intercept is (42, 0).
To find the y-intercept, we set x to 0 and solve for y:
15(0) + 14y = 630
14y = 630
y = 630 / 14
y = 45
So the y-intercept is (0, 45).
Filling in the blanks from the image:
x-intercept: (42, 0)
y-intercept: (0, 45)
