Respuesta :
Answer:
He can have 5 people at max
Step-by-step explanation:
He can only have 5 people at max which would cost $64.70, since if there were one more it'd cost $71.65. So the equation would be
T = 6.95p + 29.95 { 0 ≤ x ≤ 5 }
The domain can be represented as 0 ≤ p < 6
What is domain of the function ?
Domain is the set of all inputs for which the function is valid, whereas the range of a function is the set of outputs that the function will produce. Also, we can define domain and range as, domain is the set of numbers which are valid values for the independent variable. The range is the set of valid numbers for the dependent variable.
We have
t = 6.95p + 29.95
Amount = $70
Required
Determine the domain
First, we need to solve for p
Substitute $70 for t in t = 6.95p + 29.95
70 = 6.95p + 29.95
Collect Like Terms
6.95p = 70 - 29.95
6.95p = 40.05
Solve for p
p = 40.05/6.95
p = 5.76
This implies that Larry can not invite up to 6 people.
Hence, the domain can be represented as 0 ≤ p < 6
To learn more about domain of the function from here
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