Page 536 - Algebra 1

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Physics An object is thrown from inside a hole. Its height after x seconds is represented by the expression -16x2 + 32x - 16. Factor the expression completely.
Error_Analysis Students were asked to find the vertical asymptote of the expression 1
y = x + 2 + 8. Which student is correct? Explain the error.
Student A
x = -2
Student B
y=8
Multi-Step A band teacher has a budget of $50,000 to buy new instruments. He will receive 1 free instrument when he places his order. The number of
_
instruments, y, that he can get is given by y = 50,000 + 1, where x is the
x
price per instrument.
a. What is the horizontal asymptote of this rational function?
b. What is the vertical asymptote?
c. If the price per instrument is $1000, how many instruments will he receive?
Party Planning A party planner has a budget of $1350.00 to buy a steak dinner for
the entire guest list for a company retirement party. The planner will receive
15 free dinners when she places t_he order. The number of steak dinners, y, that the 1350
planner can buy is given by y = x + 15, where x is the price per steak dinner. a. What is the horizontal asymptote of this rational function?
b. What is the vertical asymptote?
c. If the price per dinner is $25, how many dinners will the planner receive?
Geometry Write a rational function that shows the relationship between the side lengths of the similar triangles shown.
5
x - 8
1
y
AutomotiveCare Steve’scarisreallydirtyandisalmostonempty.Hehas$20.Acar wash is $7 and gas is $3 per gallon. To find how many gallons of gas he can buy with a car wash, solve the inequality 7 + 3g ≤ 20.
Error Analysis Two students solve 3h + 15 > 6. Which student is correct? Explain the error.
Student A
3h + 15 > 6 3h > -9
h < -3
Student B
3h + 15 > 6 3h > -9
h > -3
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Write Explain the process for multiplying binomials with radicals.
Lesson 79 521