Step: 1

Graph 1 shows the initial amount apid by Sam and the amount paid by him in subsequent months.

Step: 2

So, graph 1 is the right choice.

Correct Answer is : Graph 1

Step: 1

Slope is used to find the rate of speed the bike.

Step: 2

If the speed of the bike decreases, then the value of slope decreases.

Step: 3

Hence, the slope will decrease if the bike is ridden slower.

Correct Answer is : The slope will decrease.

Step: 1

Rate of population growth can be found by using slope.

Step: 2

Among the graph, it is obvious that the graph of City P has highest slope.

Step: 3

So, City P has the highest population growth.

Correct Answer is : City P

Step: 1

0.01x + 0.25y = 65

[Original equation.]

Step: 2

To find y -intercept, let x = 0.

Step: 3

0.01(0) + 0.25y = 65 => y = 260

Step: 4

Correct Answer is : number of quarters if there are no cents

Step: 1

[Original equation.]

Step: 2

To find the y -intercept, let x = 0.

Step: 3

Step: 4

Step: 5

So, the y -intercept represents the population in the year 1993.

Correct Answer is : population in the year 1993

Step: 1

[Original equation.]

Step: 2

To find y -intercept, let x = 0.

Step: 3

y = $0.25(0) + $65 = $65

[Substitute the value of x in the equation.]

Step: 4

⇒ y = $65

Step: 5

Therefore the initial rental charges of a car, y = $65 represents the y -intercept of the given equation.

Correct Answer is : initial rental charges $65.

Step: 1

Slope is used to find the rate of speed of the car.

Step: 2

If the speed of the car decreases, then the value of slope decreases.

Step: 3

Hence, the slope will decrease if the car is driven slower.

Correct Answer is : The slope will decrease.

Step: 1

[Original equation.]

Step: 2

To find the y-intercept, let x = 0.

Step: 3

⇒ y = 2.75(0) + 3.8

[Substitute the value of x in the equation.]

Step: 4

⇒ y = 3.8

Step: 5

= 3.8 represents the population in the year 2003.

Step: 6

So, the y-intercept represents the population in the year 2003.

Correct Answer is : population in the year 2003

Step: 1

The graph indicates that, the initial rent of a car is $10 and charges for every additional hour increases by $8.

Step: 2

we can interpret the slope as a rate of change in rental charges for every hour.

Step: 3

So, the graph best suits the statement 'Rental charges for every additional hour increases by $8.'

Correct Answer is : Rental charges for every additional hour increases by $8.

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- Slope