Question

confirm or disprove ernest's work by selecting two different points and applying the slope formula. be sure to identify the points you chose.

Answer 1

Part a) Ernest's calculation was correct

Part b) Ernest's calculation was correct

Explanation:

The picture of the question in the attached figure

The complete question is

Ernest calculated the slope of the graph during the uphill climb to be 10. His work is shown below.

Points: (60.900). (15, 450)

Slope : 900-450/60-15=450/45=10

Part a) Determine whether his calculation was correct or incorrect, and then explain why.

Part b) Confirm or disprove Ernest's work by selecting two different points and applying the slope formula. be sure to identify the points you chose

Part a)

we know that

The formula to calculate the slope between two points is equal to

we have the points

A(60,900),B(15,450)

Remember that

step 1

Find

substitute in the formula

step 2

Find

substitute in the formula

therefore

Ernest's calculation was correct, because

Part b) selecting two different points

we take the points

(0,300) and (50,800) -----> see the attached figure

substitute in the formula of slope

therefore

Ernest's calculation was correct

Explanation:

Answer 2

Part a) Ernest's calculation was correct

Part b) Ernest's calculation was correct

Explanation:

The picture of the question in the attached figure

The complete question is

Ernest calculated the slope of the graph during the uphill climb to be 10. His work is shown below.

Points: (60.900). (15, 450)

Slope : 900-450/60-15=450/45=10

Part a) Determine whether his calculation was correct or incorrect, and then explain why.

Part b) Confirm or disprove Ernest's work by selecting two different points and applying the slope formula. be sure to identify the points you chose

Part a)

we know that

The formula to calculate the slope between two points is equal to

`m=(y2-y1)/(x2-x1)`

we have the points

A(60,900),B(15,450)

Remember that

`m_A_B=m_B_A`

step 1

Find
`m_A_B`

substitute in the formula

`m_A_B=(450-900)/(15-60)\\\\m_A_B=(-450)/(-45)=10`

step 2

Find
`m_B_A`

substitute in the formula

`m_B_A=(900-450)/(60-15)\\\\m_B_A=(450)/(45)=10`

therefore

Ernest's calculation was correct, because
`m_A_B=m_B_A`

Part b) selecting two different points

we take the points

(0,300) and (50,800) -----> see the attached figure

substitute in the formula of slope

`m=(800-300)/(50-0)`

`m=(500)/(50)`

`m=10`

therefore

Ernest's calculation was correct