Item: tModelExtendTableArithmetic1a
Stimulus:
The table below shows the annual salary of employees of a company based on
years of employment.
| Years of Employment |
Annual Salary |
| Starting Salary |
$30,000 |
| 1 |
$31,500 |
| 2 |
$33,000 |
| 3 |
$34,500 |
| 4 |
$36,000 |
Stem:
Based on the data in the table, what is the annual salary of an employee who has
just completed 10 years of service with this company?
Options:
$46,000
$45,000
$43,500
$37,500
Key:
- Observable: 1.
Score: 0;
Evidence Value: 0.
-
Student:Sorry, that's not right. For these types of problems, you need to find
the common difference between each pair of successive numbers, and add
to the last given number the appropriate number of times. In this case,
the common difference is $1,500, and the answer is $45,000.
-
Teacher:Looks like the student simply added 10 thousand
to the $36,000.
- Observable: 2.
Score: 1;
Evidence Value: 1.
-
Student:Correct, good job!
-
Teacher:Student has answered correctly.
- Observable: 3.
Score: 0;
Evidence Value: 0.
-
Student:Sorry, that's not right. You need to add the common difference to the last
given number in the sequence enough times to reach 10 years. The correct answer is
$45,000.
-
Teacher:Looks like the student stopped short of 10 years.
- Observable: 4.
Score: 0;
Evidence Value: 0.
-
Student:Sorry, that's not right. You need to add the common difference to the last
given number in the sequence enough times to reach 10 years. The correct answer is
$45,000.
-
Teacher:Looks like the student gave the amount made after 5 years.
Metadata:
Item Node: tModelExtendTableArithmetic1a,
Difficulty: 1.
Proficiencies: ModelArithmetic,
TableArithmetic,
ExtendArithmetic.