Solved on Oct 30, 2023

Appliance repair man charges $75/hour plus$ 125 fee. Let $y$ be total cost and $x$ be hours worked. Find the equation in slope-intercept form.

STEP 1

Assumptions1. The repair man charges $75 per hour of work. The repair man charges a fixed fee of$ 125 to drive to your home3. Let $y$ represent the total cost4. Let $x$ represent the number of hours he works

STEP 2

We need to find the equation in slope-intercept form that represents this situation. The slope-intercept form of a linear equation is given by $y = mx + b$ where $m$ is the slope of the line and $b$ is the y-intercept.

STEP 3

In this case, the slope $m$ represents the rate at which the total cost $y$ increases with each additional hour of work $x$ . This is given by the repair man's hourly rate, which is $75.
So, $m =75$ .

STEP 4

The y-intercept $b$ represents the initial cost before any hours of work. This is given by the repair man's drive fee, which is $125.
So, $b =125$ .

STEP 5

Now, we can substitute the values of $m$ and $b$ into the slope-intercept form of the equation to find the equation that represents this situation.
$y = mx + b$

STEP 6

Substitute $m =75$ and $b =125$ into the equation.
$y =75x +125$ This is the equation in slope-intercept form that represents the situation. The total cost $y$ is equal to $75 times the number of hours of work$ x $, plus a fixed fee of$ 125.

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Appliance repair man charges $75/hour plus$ 125 fee. Let $y$ be total cost and $x$ be hours worked. Find the equation in slope-intercept form.

STEP 1

Assumptions1. The repair man charges $75 per hour of work. The repair man charges a fixed fee of$ 125 to drive to your home3. Let $y$ represent the total cost4. Let $x$ represent the number of hours he works

STEP 2

We need to find the equation in slope-intercept form that represents this situation. The slope-intercept form of a linear equation is given by $y = mx + b$ where $m$ is the slope of the line and $b$ is the y-intercept.

STEP 3

In this case, the slope $m$ represents the rate at which the total cost $y$ increases with each additional hour of work $x$ . This is given by the repair man's hourly rate, which is $75.
So, $m =75$ .

STEP 4

The y-intercept $b$ represents the initial cost before any hours of work. This is given by the repair man's drive fee, which is $125.
So, $b =125$ .

STEP 5

Now, we can substitute the values of $m$ and $b$ into the slope-intercept form of the equation to find the equation that represents this situation.
$y = mx + b$

STEP 6

Substitute $m =75$ and $b =125$ into the equation.
$y =75x +125$ This is the equation in slope-intercept form that represents the situation. The total cost $y$ is equal to $75 times the number of hours of work$ x $, plus a fixed fee of$ 125.

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Appliance repair man charges 75/hourplus75/hour plus 75/hourplus125 fee. Let yyy be total cost and xxx be hours worked. Find the equation in slope-intercept form.

STEP 1

Assumptions1. The repair man charges 75perhourofwork.Therepairmanchargesafixedfeeof75 per hour of work. The repair man charges a fixed fee of 75perhourofwork.Therepairmanchargesafixedfeeof125 to drive to your home3. Let yyy represent the total cost4. Let xxx represent the number of hours he works

STEP 2

We need to find the equation in slope-intercept form that represents this situation. The slope-intercept form of a linear equation is given byy=mx+by = mx + by=mx+bwhere mmm is the slope of the line and bbb is the y-intercept.

STEP 3

In this case, the slope mmm represents the rate at which the total cost yyy increases with each additional hour of work xxx. This is given by the repair man's hourly rate, which is $75.So, m=75m =75m=75.

STEP 4

The y-intercept bbb represents the initial cost before any hours of work. This is given by the repair man's drive fee, which is $125.So, b=125b =125b=125.

STEP 5

Now, we can substitute the values of mmm and bbb into the slope-intercept form of the equation to find the equation that represents this situation.y=mx+by = mx + by=mx+b

STEP 6

Start learning now

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

Appliance repair man charges $75/hour plus$ 125 fee. Let $y$ be total cost and $x$ be hours worked. Find the equation in slope-intercept form.

Assumptions1. The repair man charges $75 per hour of work. The repair man charges a fixed fee of$ 125 to drive to your home3. Let $y$ represent the total cost4. Let $x$ represent the number of hours he works

We need to find the equation in slope-intercept form that represents this situation. The slope-intercept form of a linear equation is given by $y = mx + b$ where $m$ is the slope of the line and $b$ is the y-intercept.

In this case, the slope $m$ represents the rate at which the total cost $y$ increases with each additional hour of work $x$ . This is given by the repair man's hourly rate, which is $75.
So, $m =75$ .

The y-intercept $b$ represents the initial cost before any hours of work. This is given by the repair man's drive fee, which is $125.
So, $b =125$ .

Now, we can substitute the values of $m$ and $b$ into the slope-intercept form of the equation to find the equation that represents this situation.
$y = mx + b$