Mathematics, 11.07.2019 09:30 jprofaci29

Relationship a has a lesser rate than relationship b. this table represents relationship b. hours worked 2 4 5 8 amount paid ($) 36.50 73 91.25 146 which equation could represent relationship a? hours worked is represented by x and amount paid is represented by y. select each correct answer. y = 18.1x y = 18.6x y = 18.3x y = 18x

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Answer from: xxbloomxx184p8jqjd

y = 18.1x ; and y = 18x

Explanation:

The rate of change in Relationship B can be found by using the formula for slope:

$m=\frac{y_2-y_1}{x_2-x_1}$

Using the first two points, we have

$m=\frac{73-36.50}{4-2}=\frac{36.50}{2}=18.25$

We know that Relationship A has a lesser rate than this. The choices given for Relationship A are written in slope-intercept form, y=mx+b, where m is the slope and b is the y-intercept (in this case b = 0).

The slope of the first equation is 18.1; this is less than 18.25.

The slope of the second equation is 18.6; this is greater than 18.25.

The slope of the third equation is 18.3; this is greater than 18.25.

The slope of the fourth equation is 18; this is less than 18.25.

Answer from: bnnn

Option A and D.

Step-by-step explanation:

If a linear function passes through two points, then the rate of change is

$m=\dfrac{y_2-y_1}{x_2-x_1}$

From the given table it is clear that the Relationship B have two ordered pairs (2,36.50) and (4,73). So, the rate of Relationship B is

$m=\dfrac{73-36.50}{4-2}$

$m=\dfrac{36.50}{2}$

m=18.25

The rate of relation B is 18.25.

Let hours worked is represented by x and amount paid is represented by y. So the Relationship B is defined as

y=kx

Where, k is the rate of relationship A.

It is given that Relationship A has a lesser rate than Relationship B.

We know that

18.1 , 18.618.25 , 18.318.25 and .

The relationship A could be

y=18.1x and y=18x

Therefore, the correct options are A and D.

Answer from: Quest

4 adults and 12 babies

step-by-step explanation:

4 x 7 = 28

12 x 15 = 180

180 + 28 =208

4 x 3 = 12

Answer from: Quest

answer

a,b, and d

explanation

a reflection angle is more than

$\pi \: radians$

but less than;

$2 \pi \: radians$

an angle that measures

$\frac{4 \pi}{3} \: radians$

is a reflex angle.(true)

an angle that measures less than

$\frac{\pi}{2}$

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

$0 \leqslant \theta \: < \frac{\pi}{2}$

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)

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