QuestionRelationship A pays more than Relationship B. Given B's data, which equation for A is correct? $y=15.4 x$ , $y=149 x$ , $y=15.2 x$ , $y=16.4 x$ ?

Studdy Solution

STEP 1

Assumptions1. Relationship A has a greater rate than Relationship B. . The table represents Relationship B.
3. Hours worked is represented by $x$ , and amount paid is represented by $y$ .

STEP 2

First, we need to find the rate of Relationship B. We can do this by dividing the amount paid by the hours worked. $Rate_B = \frac{Amount\, paid}{Hours\, worked}$

STEP 3

Now, plug in the given values for the amount paid and hours worked to calculate the rate for Relationship B.
$Rate_B = \frac{30.40}{2}$

STEP 4

Calculate the rate for Relationship B.
$Rate_B = \frac{30.40}{2} =15.2$

STEP 5

Now that we have the rate for Relationship B, we can determine which equations could represent Relationship A. Since Relationship A has a greater rate than Relationship B, we are looking for equations where the coefficient of $x$ (which represents the rate) is greater than15.2.

STEP 6

Check each equation to see if the coefficient of $x$ is greater than15.2.
For $y=15.4x$ , the coefficient of $x$ is15.4, which is greater than15.2.
For $y=149x$ , the coefficient of $x$ is149, which is greater than15.2.
For $y=15.2x$ , the coefficient of $x$ is15.2, which is equal to15.2, not greater.
For $y=16.4x$ , the coefficient of $x$ is16.4, which is greater than15.2.
So, the equations that could represent Relationship A are $y=15.4x$ , $y=149x$ , and $y=16.4x$ .

Was this helpful?

QuestionRelationship A pays more than Relationship B. Given B's data, which equation for A is correct? $y=15.4 x$ , $y=149 x$ , $y=15.2 x$ , $y=16.4 x$ ?

Studdy Solution

STEP 1

Assumptions1. Relationship A has a greater rate than Relationship B. . The table represents Relationship B.
3. Hours worked is represented by $x$ , and amount paid is represented by $y$ .

STEP 2

First, we need to find the rate of Relationship B. We can do this by dividing the amount paid by the hours worked. $Rate_B = \frac{Amount\, paid}{Hours\, worked}$

STEP 3

Now, plug in the given values for the amount paid and hours worked to calculate the rate for Relationship B.
$Rate_B = \frac{30.40}{2}$

STEP 4

Calculate the rate for Relationship B.
$Rate_B = \frac{30.40}{2} =15.2$

STEP 5

Now that we have the rate for Relationship B, we can determine which equations could represent Relationship A. Since Relationship A has a greater rate than Relationship B, we are looking for equations where the coefficient of $x$ (which represents the rate) is greater than15.2.

STEP 6

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionRelationship A pays more than Relationship B. Given B's data, which equation for A is correct? y=15.4xy=15.4 xy=15.4x, y=149xy=149 xy=149x, y=15.2xy=15.2 xy=15.2x, y=16.4xy=16.4 xy=16.4x?

Studdy Solution

STEP 1

Assumptions1. Relationship A has a greater rate than Relationship B. . The table represents Relationship B.3. Hours worked is represented by xxx, and amount paid is represented by yyy.

STEP 2

First, we need to find the rate of Relationship B. We can do this by dividing the amount paid by the hours worked.RateB=Amount paidHours workedRate_B = \frac{Amount\, paid}{Hours\, worked}RateB​=HoursworkedAmountpaid​

STEP 3

Now, plug in the given values for the amount paid and hours worked to calculate the rate for Relationship B.RateB=30.402Rate_B = \frac{30.40}{2}RateB​=230.40​

STEP 4

Calculate the rate for Relationship B.RateB=30.402=15.2Rate_B = \frac{30.40}{2} =15.2RateB​=230.40​=15.2

STEP 5

Now that we have the rate for Relationship B, we can determine which equations could represent Relationship A. Since Relationship A has a greater rate than Relationship B, we are looking for equations where the coefficient of xxx (which represents the rate) is greater than15.2.

STEP 6

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionRelationship A pays more than Relationship B. Given B's data, which equation for A is correct? $y=15.4 x$ , $y=149 x$ , $y=15.2 x$ , $y=16.4 x$ ?

Assumptions1. Relationship A has a greater rate than Relationship B. . The table represents Relationship B.
3. Hours worked is represented by $x$ , and amount paid is represented by $y$ .

First, we need to find the rate of Relationship B. We can do this by dividing the amount paid by the hours worked. $Rate_B = \frac{Amount\, paid}{Hours\, worked}$

Now, plug in the given values for the amount paid and hours worked to calculate the rate for Relationship B.
$Rate_B = \frac{30.40}{2}$

Calculate the rate for Relationship B.
$Rate_B = \frac{30.40}{2} =15.2$

Now that we have the rate for Relationship B, we can determine which equations could represent Relationship A. Since Relationship A has a greater rate than Relationship B, we are looking for equations where the coefficient of $x$ (which represents the rate) is greater than15.2.