9514 1404 393
Answer:
11
Step-by-step explanation:
2 3/4 lb = 11/4 lb = 11×(1/4 lb)
The cook can make 11 quarter-pound burgers.
Total distance = 1.6 miles
Madison has already hiked 0.4 miles
Miles left = 1.6 - 0.4 = 1.2 miles left
Remember some simle log rules
loga+logb=log(ab)
xloga=loga^x

means

also, if no base is stated, assume base 10
so
log(2x)=-1 is base 10 and translates to
10^-1=2x
1/10=2x
divide both sides by 2 aka times 1/2
1/20=x
3log(2)+log(x)=3
log(2^3)+log(x)=3
log(8)+log(x)=3
log(8x)=3
base 10
10^3=8x
1000=8x
divide both sides by 8
x=125
Answer is $0.52 increase per mile
Reason
In the y intercept form, y=mx + b
the “m” is the slope or rate of change, in this case it is the $ rate that will be multiplied by the variable “x” which would be the changing number of miles driven.
“B” is the starting point or base price that doesn’t change which is 157.