An electronics business is comparing the profit earned from selling desktop versus laptop computers. The equations represents the profit earned, y , in dollars, as a function of the number of computers sold, x. Desktop Computers: y=92x+40 Laptop Computers: y=98x+15
To compare the profit earned from selling desktop versus laptop computers, we need to compare the equations representing the profit earned as a function of the number of computers sold.
The equation for the profit earned from selling desktop computers is given as:
y = 92x + 40
The equation for the profit earned from selling laptop computers is given as:
y = 98x + 15
From these equations, we can see that the profit earned from selling laptop computers has a higher constant term (15) compared to the profit earned from selling desktop computers (40). This means that even if no computers are sold (when x = 0), the profit from selling laptops is already higher.
Additionally, the profit earned from selling laptop computers has a higher slope (98) compared to the profit earned from selling desktop computers (92). This means that for each computer sold, the profit earned from selling laptops is higher.
Therefore, based on these equations, the profit earned from selling laptop computers is higher than the profit earned from selling desktop computers, both initially and for each computer sold.
Compare the profit earned from selling 10 of each type of computer.
The profit earn for selling 10 desktop computers is ____ compared to the profit of _____ for selling 10 laptop computers
To compare the profit earned from selling 10 of each type of computer, we substitute x = 10 into the corresponding equations.
For desktop computers:
y = 92x + 40
y = 92(10) + 40
y = 920 + 40
y = 960
The profit earned from selling 10 desktop computers is $960.
For laptop computers:
y = 98x + 15
y = 98(10) + 15
y = 980 + 15
y = 995
The profit earned from selling 10 laptop computers is $995.
Therefore, the profit earned from selling 10 desktop computers is $960, compared to the profit of $995 for selling 10 laptop computers.