Question

# Neil and Yuki run a data entry service . Neil starts at 9 :00 Am and can type 45 words per minute. Yuki arrives at 10 :30 AM and can type 60 words per minute. Write and solve an inequality to find at what time yuki will have typed more words than neil. Let X represent the time in minutes.

Hint:

### Linear inequalities are expressions where any two values are compared by the inequality symbols<,>,≤&≥ .

We are asked to write and solve an inequality to find the time when Yuki would have typed more words than Neil.

## The correct answer is: x>270

### Step 1 of 2:

Let x be the number of minutes after 10.30 AM.

The number of words Neil types is given in the expression form as:45x . But, he is ahead by 90 minutes. So, the final expression would be: .

The number of words Yuki types is given by;

We need to find the time when Yuki would have typed more words than Neil. Thus, we get the expression:

60x>45(x+90)

Step 2 of 2:

Solve the inequality,

n

So, Yuki will have typed more words than Neil 270 minutes or 4 hours and 30 minutes after 10.30 AM.

Whenever we use the inequality symbol < or> we do not include the end point.

### Related Questions to study

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a) Does this scatter plot show a positive association, negative association, or non-association? Explain why.

b) Is there an outlier(s) in this data set? If so, approximately how old is that person and how much does he or she make in allowance each week?

c) Is this association linear or non-linear? Explain why.

d) What can you say about the relationship between your height and your allowance?

e) Do you think that being older means that you will get more allowance? In other words, do think this relationship is a causation or a correlation?

Causation explicitly applies to cases where one action causes the outcome of another action. Whereas, correlation is simply a relationship.

### Use the given scatter plots to answer the questions.

a) Does this scatter plot show a positive association, negative association, or non-association? Explain why.

b) Is there an outlier(s) in this data set? If so, approximately how old is that person and how much does he or she make in allowance each week?

c) Is this association linear or non-linear? Explain why.

d) What can you say about the relationship between your height and your allowance?

e) Do you think that being older means that you will get more allowance? In other words, do think this relationship is a causation or a correlation?

Causation explicitly applies to cases where one action causes the outcome of another action. Whereas, correlation is simply a relationship.

### The measure of an angle is 5 times the measure of its complement. Find the measure of each angle.

### The measure of an angle is 5 times the measure of its complement. Find the measure of each angle.

### Use the given scatter plots to answer the questions.

a) Does this scatter plot show a positive association, negative association, or non-association? Explain why.

b) Is there an outlier(s) in this data set? If so, approximately how tall is that person and how much does he or she make in allowance each week?

c) Is this association linear or non-linear? Explain why.

d) What can you say about the relationship between your height and your allowance?

e) Do you think that being taller means that you will get more allowance? In other words, do you think this relationship is causation or a correlation?

Causation explicitly applies to cases where one action causes the outcome of another action. Whereas, correlation is simply a relationship.