I think the answer is 1,600 totals students taking metaphysics
<em><u>Complete Question:</u></em>
What is the y intercept of y = -3-7x
<em><u>Answer:</u></em>
<h3>The y intercept is (0, -3)</h3>
<em><u>Solution:</u></em>
<em><u>Given equation is:</u></em>
y = -3 - 7x
The y intercept is the point where the line crosses the y axis
<u>Finding y intercept:
</u>
To determine the y-intercept, we set x equal to zero and solve for y
Substitute x = 0 in given equation
y = -3 - 7(0)
y = -3 - 0
y = -3
Thus the y intercept is (0, -3)
The given function is
f(x) = 4x - 3/2
where
f(x) = number of assignments completed
x = number of weeks required to complete the assignments
We want to find f⁻¹ (30) as an estimate of the number of weeks required to complete 30 assignments.
The procedure is as follows:
1. Set y = f(x)
y = 4x - 3/2
2. Exchange x and y
x = 4y - 3/2
3. Solve for y
4y = x + 3/2
y = (x +3/2)/4
4. Set y equal to f⁻¹ (x)
f⁻¹ (x) = (x + 3/2)/4
5. Find f⁻¹ (30)
f⁻¹ (30) = (30 + 3/2)/4 = 63/8 = 8 (approxmately)
Answer:
Pedro needs about 8 weeks to complete 30 assignments.