Math / Algebra

Questionm = #3 -5-4-3-2-172345 #4 A pilot takes a taxi to the airport. The taxi driver charges a $2.50 initial charge plus$ 2.65 per mile. Write an equation to find y, the total cost of the trip, if x is the number of miles for the trip. m= b = Equation: y= #5 m = b = Equation: y #6 A pool already contains 189 gallons of water. The pool begins to leak at a rate of 8 gallons per minute. Write an equation that shows y, the total number of gallons in the pool x minutes after Bob began to fill it. 8 + 2 -10-8-6-4-2 2 4 5 8 10 4 8 Equation: y = b = m = Equation: y = b =

Studdy Solution

STEP 1

1. We need to write equations for two different scenarios.
2. The first scenario involves a taxi fare calculation.
3. The second scenario involves a leaking pool.
4. We need to identify and use the slope-intercept form of a linear equation, $y = mx + b$ , where $m$ is the slope and $b$ is the y-intercept.

STEP 2

1. Write an equation for the taxi fare scenario.
2. Write an equation for the leaking pool scenario.

STEP 3

Identify the components of the equation for the taxi fare scenario.
- Initial charge (y-intercept, $b$ ): 2.50 - Cost per mile (slope, $ m $): 2.65

STEP 4

Write the equation for the taxi fare scenario using the slope-intercept form $y = mx + b$ .
Equation: $y = 2.65x + 2.50$

STEP 5

Identify the components of the equation for the leaking pool scenario.
- Initial amount of water in the pool (y-intercept, $b$ ): 189 gallons - Rate of leakage (slope, $m$ ): -8 gallons per minute (since the pool is losing water)

STEP 6

Write the equation for the leaking pool scenario using the slope-intercept form $y = mx + b$ .
Equation: $y = -8x + 189$

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Studdy Solution

STEP 1

STEP 2

1. Write an equation for the taxi fare scenario.
2. Write an equation for the leaking pool scenario.

STEP 3

Identify the components of the equation for the taxi fare scenario.
- Initial charge (y-intercept, $b$ ): 2.50 - Cost per mile (slope, \( m \)): 2.65

STEP 4

Write the equation for the taxi fare scenario using the slope-intercept form $y = mx + b$ .
Equation: $y = 2.65x + 2.50$

STEP 5

Identify the components of the equation for the leaking pool scenario.
- Initial amount of water in the pool (y-intercept, $b$ ): 189 gallons - Rate of leakage (slope, $m$ ): -8 gallons per minute (since the pool is losing water)

STEP 6

Write the equation for the leaking pool scenario using the slope-intercept form $y = mx + b$ .
Equation: $y = -8x + 189$

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Studdy Solution

STEP 1

STEP 2

1. Write an equation for the taxi fare scenario.2. Write an equation for the leaking pool scenario.

STEP 3

Identify the components of the equation for the taxi fare scenario.- Initial charge (y-intercept, b b b): 2.50 - Cost per mile (slope, \( m \)): 2.65

STEP 4

Write the equation for the taxi fare scenario using the slope-intercept form y=mx+b y = mx + b y=mx+b.Equation: y=2.65x+2.50 y = 2.65x + 2.50 y=2.65x+2.50

STEP 5

Identify the components of the equation for the leaking pool scenario.- Initial amount of water in the pool (y-intercept, b b b): 189 gallons - Rate of leakage (slope, m m m): -8 gallons per minute (since the pool is losing water)

STEP 6

Write the equation for the leaking pool scenario using the slope-intercept form y=mx+b y = mx + b y=mx+b.Equation: y=−8x+189 y = -8x + 189 y=−8x+189

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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.

1. Write an equation for the taxi fare scenario.
2. Write an equation for the leaking pool scenario.

Identify the components of the equation for the taxi fare scenario.
- Initial charge (y-intercept, $b$ ): 2.50 - Cost per mile (slope, \( m \)): 2.65

Write the equation for the taxi fare scenario using the slope-intercept form $y = mx + b$ .
Equation: $y = 2.65x + 2.50$

Identify the components of the equation for the leaking pool scenario.
- Initial amount of water in the pool (y-intercept, $b$ ): 189 gallons - Rate of leakage (slope, $m$ ): -8 gallons per minute (since the pool is losing water)

Write the equation for the leaking pool scenario using the slope-intercept form $y = mx + b$ .
Equation: $y = -8x + 189$