Question

Can anyone help me with these questions plz

Answer 1

Answers:

• 7: 20 miles

• 8: 28 miles

• 9: 1 error

• 10: Their speed is 50

• 11: 365 words in 5 mins

Explanation:

• #7 and #8

Our equation is:
`f=2.25+0.20(m-1)` With f meaning "fare" (price) and m meaning "miles".

Question 7 - Juan's fare for his ride costs $6.05. We must solve for
`m`.

Step 1. Substitute - Substitute the fare for
`f` in the equation.

`6.05=2.25+0.20(m-1)`

Step 2. Simplify/Solve - Solve for
`m`.

`6.05=2.25+0.20(m-1)`

- Distribute

`6.05=2.25+0.2m-0.2`

- Subtract 0.2 from 2.25

`6.05=2.05+0.2m`

- Subtract -2.05 from 6.05

`4=0.2m`

- Divide both sides by 0.2

`20=m`

And you have your answer of 20 miles.

Question 8 - Same equation, different fare.

Step 1. Substitute

`7.65=2.25+0.20(m-1)`

Step 2. Solve

`7.65=2.25+0.20(m-1)\\7.65=2.25+0.20m-0.20\\7.65=2.05+0.20m\\5.6=0.20m\\28=m`

And like so, we have
`m = 28`

• Questions 9 - 11

The equation given is
`S=(1)/(5) (w-10e)`. S = typing speed, w = words per 5 mins, and e= errors.

Question 9 -

We are given this information: S = 55, W = 285. We are solving for e.

Substitute -

`55=(1)/(5) (285 -10e)`

Solve -

`55=(1)/(5) (285 -10e)\\55=(1)/(5) (285 -10e)\\55= 57-2e\\-2=-2e\\1=e`

So they would make 1 error.

Question 10 -

Information given: 300 = w, 5=e. We are solving for S

Substitute -

`S= (1)/(5) (300-10(5))`

Solve -

`S= (1)/(5) (300-10(5))\\S= (1)/(5) (300-50)\\S= (1)/(5) (300-50)\\S= (1)/(5) (250)\\S= 50`

Their speed is 50.

Question 11 -

Information given: S = 65, e = 4. We are solving for w.

Substitute -

`65=(1)/(5) (w-10(4))`

Solve -

`65=(1)/(5) (w-10(4))\\65=(1)/(5) (w-40)\\65=(1)/(5)w-8\\73=(1)/(5)w\\365=w`

So w = 365.

• Hoped this helped!~