At the beginning of the year, adrian's savings account balance was $28. each week, he deposits another $15 into that account, and he doesn't spend any of his savings.

is his savings account balance proportional to the number of weeks since the start of the year?

Account balance is not proportional to the number of weeks.

Step-by-step explanation:

Initially Adrian's saving account balance was = $28

He deposits $15 in his account each week.

If we denote week with a variable 'x' then after 'x' weeks total amount in is account = $15x

So, total amount in his account after 'x' week will be;

y = 15x + 28

It's a linear equation representing total amount after 'x' weeks with a constant growth rate of 15 and initial amount 28.

In other words equation is in the form of y = mx +b.

This equation doesn't show the proportional relation because equation in the form of y = kx represents the relation of proportionality only.

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

the answer is the option b

the range is all real numbers

step-by-step explanation:

we know that

the absolute value parent function is equal to

see the attached figure to better understand the problem

so

a. it is v-shaped > is true

b. the range is all real numbers > is not true

because the range is the > [0,∞)

all real numbers greater than or equal to zero

c. it goes through the origin > is true

d. the domain is all real numbers > is true

step-by-step explanation: