9
Think of it like you are going up so -11+20=9
E is the correct option to choose
The function would be f (x) = 0.4x - 4.
Explanation
We can see that this is linear, since it increases at a constant rate. We find the slope using the formula
m=(y₂-y₁)/(x₂-x₁) = (0.8-0.4)/(12-11) = 0.4/1 = 0.4
We use point-slope form to write the initial equation:
y-y₁ = m(x-x₁)
y-0.4 = 0.4(x-11)
Using the distributive property:
y-0.4 = 0.4*x - 0.4*11
y-0.4 = 0.4x-4.4
Add 0.4 to both sides:
y-0.4+0.4 = 0.4x-4.4+0.4
y=0.4x-4
The total cost she needs is 11000 times 5 which is 55,000. so you do 5 times 5000 for her annual grant is 25000 and 900 times 5 is 4500. now you add 25000 plus 4500 is 29500. 29500 is what she has. 55,000 minus 29500 is 25,500. 25,500 is what she needs now. now she has a loan of 400 per year. 400 times 5 is 2,000. 25,000 minus 2,000 is 23,000. so the answer is that she needs to borrow 23,0000.
