The table shows the cost of the lunch special for selected years since a diner opened. What is an approximate equation for the line of best fit? How accurate is the line of best fit? Let 1997 = 0.

(Year)| (cost)
1997 | $6.95
1999 | $7.95
2001 | $8.00
2003 | $8.00
2005 | $9.25
2007 | $ 9.50

A. y = 7.08% +0.24; x is years since 1997;y is cost of the lunch special. Since r = 0.94, which is close to 1, the line of best fit is quite inaccurate.

B. y=0.24x +7.08; x is years since 1997; y is cost of the lunch special. Since r = 0.94, which is close to 1, the line of best fit is quite accurate.

C. y=0.24x + 7.08; y is years since 1997; x is cost of the lunch special. Since r = 0.24, which is close to 1, the line of best fit is quite inaccurate.

D. y = 7.08x + 0.24;y is years since 1997; x is cost of the lunch special. Since r = 0.24, which is close to 1, the line of best fit is quite accurate.

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752

i dont know what you want me to answer for this but im guessing 2: 11?