A car is merging onto a freeway (beginning at rest), accelerating at a constant rate of 10ft/sec2. How long does it take to reach merging speed at 70mph?

10.3seconds

Step-by-step explanation:

Step one:

given data

acceleration,a= 10ft/sec^2

final velocity v= 70mph

first, let is convert mph to ft/sec

1mph is 1.46667 ft/sec

70 mph is x

cross multiply we have

x= 102.7ft/s

Step two:

we are using the first equation of motion

v=u+at

initial velocity u= 0m/s

102.7=0+10*t

102.7=10t

divide both sides by 10

t=10.3seconds

Let x = software program
let y = video game

x < 200 ; y < 300

x + y < 425

50x ; 35y

x = 200 ; y = 225
50(200) + 35(225) = 10,000 + 7,875 = 17,875

x = 125 ; y = 300
50(125) + 35(300) = 6,250 + 10,500 = 16,750

x = 175 ; y = 250
50(175)   + 35(250) = 8,750 + 8,750 = 17,500

it is more profitable to maximize production of software program when working within the limits provided.