Mike is driving a boat at 12 mph and is increasing his speed by 0.2 mph each second. Hank is driving a boat at 26.4 mph and is decreasing his speed by 0.7 mph each second. After how many seconds will the boats be traveling the same speed?

After 16 seconds the boats will be traveling the same speed.

Step-by-step explanation:

Given: Mike is driving a boat at 12 mph and is increasing his speed by 0.2 mph each second.

Mike's spewed after x seconds = 12 + 0.2x

Hank is driving a boat at 26.4 mph and is decreasing his speed by 0.7 mph each second.

Hank's speed after x seconds = 26.4 -0.7 x

As per given,

12 + 0.2x =  26.4 -0.7 x

Subtract 12 from both sides

0.2x= 26.4-12-0.7x

⇒ 0.2x= 14.4-0.7x

Add 0.7xn on both sides , we get

0.2x+0.7x= 14.4

⇒ 0.9x = 14.4

Multiply 10 on both sides, we get

9x=144

Divide both sides by 9 , we get x= 16

Hence, after 16 seconds the boats will be traveling the same speed.

the slope of the line is 60

one point on the line is (40,10)

step-by-step explanation:

in the equation outside the parenthesis the equation always tells you the slope. in this case it is 60.

in the parenthesis is also says 40 which is x because it is near the x and 10 is y because it is near y.