Michael was driving at a constant speed of 60 mph when he crossed the sandy river .after 1 hour he passed a highway marker for mile 84 . write an equation in point slop form and find which highway marker he will pass 90 minutes after crossing the sandy river

speed of Michael = 60 mph

distance traveled in 1 hour = speed* time= 60 *1 = 60 miles

marker crossed after 1 hour = 84

so start point of Michael had marker = 84-60 =24

to write linear equation, lets consider a general linear equation y = mx + c

where m is slope and c is constant, y is marker and x is actual distance traveled from starting point

putting y = 84 x = 60 and y =24 and x = 0 in the equation we get

84 = m*60 + c

24 = m*0 + c

on  solving,

m = 1  c = 24

so the equation is y = x + 24

distance traveled in 90 minutes after crossing sandy river = 60*90/60 = 90 miles

total distance traveled from starting point = 90+60 = 150

putting  x = 150 in y =x+24

y = 174

highway marker he will pass 90 minutes after crossing the sandy river = 174

b.my answer is b.

brainliest

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.