Alessandro currently has $2,400 in his savings account. He saves $250 per month. Bea currently has $1,750 in her account. She sa
ves $350 per month. Write expressions to represent the amount in Alessandro and Bea’s bank accounts. Then solve how much more money than Alessandro will Bea have after 12 months?
Bea has $550 more money than Alessandro after 12 months. Explanation: So let start with writing the equation for Alessandro money. So we know that the current amount in his/her bank account has $2,400 and she saves $250 per month. So the equation that best fit these terms is: y = 250 x + 2 , 400 Bea has $1,750 in his/her bank account and saves $350 per month. So the equation that best fit these terms is: y = 350 x + 1 , 750 So for x for both of these equations is 12. So let plug the number in Alessandro: y = 250 ( 12 ) + 2 , 400
y = 3000 + 2400
y = $ 5400 after 12 months Bea: y = 350 ( 12 ) + 1750
y = 4200 + 1750
y = $ 5950 after 12 months So subtracting $5950 and 5400 gives us a $550
The distance is increasing at a rate that is the speed of the plane multiplied by the cosine of the angle between its flight path and the direct line to the radar station. That cosine is 4/√(3²+4²) = 4/5, so the distance is increasing at 440 mi/h × 4/5 = 352 mi/h