Danielle earns an 8.25% commission on everything she sells at the electronics store where she works. She also earns a base salary of $800 per week. How much did she earn last week if she sold $4,500 in electronics merchandise? Round your intermediate calculations and answer to the nearest cent.

Lets begin with our y=mx+b, our constant (b) is 800 that she earns as a salary, our x represents the amount she sells, m then represents the commission which is 8.25% so converting that to a decimal and replacing it as m gets us y = 0.0825x+800. Replace $4500 for x and we have y=0.0825 (4500) + 800 solve and we get $1171.25