Franklin Pierce College Point Slope of Passing Line Algebra Questions

1.
Cons>
ider the line passing through (9
,
150) and
with slope
−
2
3

(a) Define the input at
sand the output at
r. What is
r(9)?
(

b) Create a table fitting this data that has 5 different points.
Do not use an equation to find these
points.

(c) Suppose
sis the time in seconds and
ris the radius in centimeters. As the seconds get larger is the
radius increasing or decreasing?

(d) Interpret 2 of the points in the table.

(e) Interpret the slope.

(f) Give an equation in point-slope form for this line using function notation.
(g) Use the order of operations and simplify
ing to write the equation in the previous part into slope-
intercept form. Use function notation.

(h) When will the radius be 0 cm?

(i) What was the radius at the start (0 seconds)?

(j) Suppose this equation just gives estimates. At 9 seconds the radius was actually 160 cm. How far
off was the estimate?

(k) Find the residual for 12 seconds if the actual radius was 140 cm.

(l) Is this linear proportional or linear non-proportional? How do you know?

2. 40 cupcakes cost $50 and 30 cupcakes cost $40. There is a set cost per cupcake and a fix
ed cost for delivery.

(a) Write this data in a table. Define your variables and do not use
xandy.(b) What is the slope? Interpret the slope.

(c) Give the equation of the line passing through these points in point-slope form. Use function notation.

(d) Give the equation of the line in slope-intercept form by simplifying the above equation step-by-step.
(

e) What is the vertical intercept of the line that passes through these points? Interpret this intercept.

(f) What is the delivery cost?

(g) What is the cost per cupcake?