The sales of a sandwich store increased from
to
during the first five years of
business.
\The two ordered pairs which represent the year and their sale are
and
.
Find the slope.
\
.
(Formula for slope)
(Substitute
and
)
(Subtract:
and
)
\
(Simplify)
\
Therefore, the slope is
.
The equation represents that models the sales
after
years.
Consider the line passes through the point is
;
.
Point slope-intercept form of the equation of a line is
.
Find the point slope intercept line equation.
\
(Formula for Point-slopeintercept)
(Substitute
and
)
(Distributive property:
)
Add
to each side.
(Apply additive inverse property:
)
Therefore, the equation represents is
.
Find the sales will be at the end of
years if the pattern continues.
(Substitute
)
(Multiply)
(Add:
)
Therefore, the end of
years, the sale will be
.
The equation represents is
.
The end of
years, the sale will be
.