Jackson has a gift card for $120 to use at a department store. he wants to purchase 2 shirts and 3 pairs of pants with his gift
1 answer:
- The domain of this relationship can be defined as,
0 ≤ x ≤ 60
- The range of this relationship can be defined as,
0 ≤ y ≤ 40
Definition of Domain and Range
The set of all the possible input values for which the provided function is defined is termed as the domain of that function.
The set of all the possible values that a given function can generate as an output is termed as the range of that function.
Forming the Relation
It is given that,
- Jackson wants to purchase 2 shirts and 3 pairs of pants with his gift card
- x represents the cost of the shirts and y represents the cost of the pants
- The limit of the gift card = $120
Thus, the relation formed is given by,
Domain and Range of the Given Relation
We have,
⇒
⇒
Thus, the domain is given by,
⇒
Similarly,
⇒
Thus, the range is given by,
⇒
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Answer:
New cars sold = 20,
Used cars sold = 25
Cars serviced = 290
Step-by-step explanation:
In a month they sold fifteen less used cars than twice the number of new cars.
Lets say 'x' number of new cars were sold, then:
The number of used car sold is:
In the same month they serviced fifty more than twelve times the number of new cars sold. So the number of cars serviced is:
Altogether they sold or serviced 335 cars, so the sum of all the cars sold and serviced should be 335:
Solving for 'x' we get:
Therefore, the number of new cars sold in that month is 20.
Number of used car sold
Number of cars serviced
We can also cross check by summing them up: