When Sara was 5 she told $50 in a savings account. When she turned 6, her aunt gave her 100$ every year for her birthday. Is this proportional relationship?

Step-by-step explanation:

The the age of Sarah be x and the amount she has be y:

When Sarah was 5 and her amount is $50

When x1 = 5, y1 = $50

Also when Sarah was 6, her amount is $100

When x2 = 6, y2 = $100

Find the slope which is also the constant of proportionality

x= ky

k = y2-y1/x2-x1

k = 100-50/6-5

k = 50/1

k = 50

Substitute the value of k in the formula:

x = 50y

This means that Sarah's age is directly proportional to the amount she have. Hence, it can be concluded that it is a direct relationship

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180

answer: yes, since the line has a steeper rate of change than the exponential the y-values will be greater and they will only intersect one time.