Question

1.
(2, 3.5), (3, 7.8), (2, 6.9), (4, 3.8)
this set of ordered pairs is a
but it is not a
2.
each value in the right oval of the arrow
diagram is an
3.
each value in the left oval of the arrow
diagram is an
4.
(27, 44), (24, 41), (41, 58), (19, 36)
this set of ordered pairs is a
and a

1. lewis tracked the total number of cans he and his classmates

collected for the food drive for weeks 1 through 5. use the
vocabulary terms from the box above to complete the sentence.
week | 1 | 2 | 3 | 4 | 5
total number of cans | 36 | 58 | 93 | 116 | 142
this is a because each
has exactly one
:: function :: input :: output :: relation

Explanation:

Step1: Analyze Q1 ordered pairs

Ordered pairs: $(2, 3.5), (3, 7.8), (2, 6.9), (4, 3.8)$. A relation is any set of ordered pairs. A function requires each input to have only one output; here input 2 maps to two outputs.

Step2: Analyze Q2 arrow diagram

Right oval values are the results of mapping left oval values, so they are outputs.

Step3: Analyze Q3 arrow diagram

Left oval values are the values being mapped, so they are inputs.

Step4: Analyze Q4 ordered pairs

Ordered pairs: $(27, 44), (24, 41), (41, 58), (19, 36)$. It is a relation (set of ordered pairs), and each input has exactly one output, so it is a function.

Step5: Analyze Q5 table

The table links weeks (inputs) to cans (outputs). It is a relation (set of paired values), a function (each week has one can count), with weeks as inputs and cans as outputs.

Answer:

1. This set of ordered pairs is a relation but it is not a function
2. Each value in the right oval of the arrow diagram is an output
3. Each value in the left oval of the arrow diagram is an input
4. This set of ordered pairs is a relation and a function
5. This relation is a function because each input has exactly one output