Consider the graph of f(x) = 1.5x2. Use the graph to find a number δ > 0 such that if |x − 1| < δ, then |1.5x2 − 1.5| < 0.9. A.
0.17

B.
0.26

C.
0.37

D.
0.87

b.

step-by-step explanation:

i just know

proportions are fractions that equal to each other. so if two fractions are the same, they are proportional.

let's check the answers to see if they are proportional.

question a is not proportional because you can't turn 1.5/3 to 3/9. if you try to multiply 1.5/3 by 2 or 3, you wont get 3/9. it's impossible to make the fractions the same.

question b is not proportional because you can't turn 22/33 to 4/6. 33 can't go into 6.

question c is proportional because when you multiply 2 and 3 by 71, you would get 142/213, and those fractions equal to each other

question d is proportional because when you divide 14 and 7 by 2, you would end up with 7/3.5, and those fractions equal to each other.

if you would like with a question it is easy to get an answer by including some or multi choice options

step-by-step explanation:

for certain loans like mortgage loans, lenders scrutinize your debt to income ratio when you are applying for credit because it them evaluate your ability to repay your debts.