Answer:
1) 28.4 miles per gallon
2) 34 miles per gallon
3) the red car
Step-by-step explanation:
Blue car:
Travels 35 1/2 miles on 1 1/4 gallons of gasoline
Red car:
Travels 27 1/5 miles on 4/5 gallons of gasoline
We want to know the unit rate for miles per hour, and to do it we have to divide the miles they travel by the gallons each car uses:
Blue car:
(35 1/2) / (1 1/4) = 28.4 miles per gallon
Red car:
(27 1/5) / (4/5) = 34 miles per gallon
The red car travels greater distance with 1 gallon of gasoline {and thats about it!}
I one is 8x<24 and -8≤2x-4
Hence x <24/8 =3 and -4≤2x: divide by positive 2 to get -2≤x
Hence solution is -2≤x<3
Therefore c is the correct matching for 1.
2) 5x-2>13 or -4x≥8
i.e. 5x>15 or x≤8/(-4) = -2 (since dividing by negative inequality reverses)
Or x>3 or x ≤-2
Hence solution is two regions to the right of 3 excluding 3 and left of -2 including -2.
Graph b is the correct match.
3) -25≤9x+2<20
Subtract 2
-27≤9x<18: Now divide by positive 9
-3≤x<2
Hence graph is the region between -3 and 2 including only -3.
Graph a is correct matching for question 3.
