Question

The number of people, N, that Denis can invite to his party is dependent on the amount of money, x, in dollars,

Answer 1

Answer:

N(h) = 2h + 6

Step-by-step explanation:

A model of the number of people that Denis can invite to his party:

N(x) = x/25.............(1)

Where x = amount of money saved

Amount of money saved can be modeled by the equation:

M(h) = 50h + 150...........(2)

In the above model, h = number of overtime hours

M(h) = amount of money saved = x

Therefore equation (1) can be re - written as:

N(x) = M(h)/25.................................(3)

Substituting equation (2) into equation (3)

$N(h) = \frac{50h + 150}{25} \\N(h) = \frac{50h}{25} + \frac{150}{25} \\N(h) = 2h + 6$

Find an explicit expression that models the number of people that Denis can invite to his party if he worked h  overtime hours this week can be expressed as:

N(h) = 2h + 6