Mr. quark drove his car 314 miles in 6.5
hours. he used 12.7 gal of gas. find
these rates:
a. miles per hour
48.3 mph
51.6 mph
b. miles per gallon
24.7 mpg
22.5 mpg
c. gallons per mile
0.07 gal/mi
0.04 gal/mi

  a) 48.3 mph

  b) 24.7 mpg

  c) 0.04 gpm

Step-by-step explanation:

a) "per" means "divided by", so "miles per hour" means "miles divided by hours":

  (314 mi)/(6.5 h) = 48.3 mi/h

__

b) (314 mi)/(12.7 gal) = 24.7 mi/gal

__

c) (12.7 gal)/(314 mi) = 0.04 gal/mi

Hopefully, you recognize that gallons per mile is the inverse of miles per gallon:

  1/(24.7 mi/gal) = (1/24.7) gal/mi = 0.04 gal/mi

shell's the art director at her local community center. she paid $10 and for each child that attends she earns $4.

for each child she ears $4 that is the slope m = 4

she paid $10, that is the initial amount paid. so 10 is the y intercept b

m =4   and b = 10

y intercept is 10 so the point is (0,10)

we start graph from y intercept (0,10)

slope = 4 . we know slope = rise / run

slope = 4   or 4/1   are same

rise = 4   and run = 1

for rise we move 4 units up and for run we move 1 unit to the right

the graph is attached below

x axis is the number of child she attends

y axis is the amount   she earns

6 students plese give brainliest