Building Functions
Paulo's Pizzeria sells personal pizzas that start at $7 for plain cheese. The pizzeria also offers a variety of toppings, all priced at $2 each. Write an equation that shows how the price of a personal pizza, y, depends on the number of toppings, x
y = 2x + 7
Solve for a in terms of F and m. F = ma
a = F/m
f + 2 = 5
f = 3
8h = 7h + 5
h = 5
2c < 6
c < 3
Belle is buying a bouquet of flowers for her grandmother. She can add however many flowers she wants for $2 each. She also decides to buy a vase that costs $10. Write an equation that shows how the total cost, y, depends on the number of flowers, x.
y = 2x + 10
Solve for Q in terms of C and V. C = Q/V
CV = Q
2g – 17 = 3
g = 10
2x = 3x + 10
x = -10
c + 7 > -9
Kinsley is refinishing her wooden deck. She completed 5 square yards over the weekend, and during the week she will refinish double square yards per day. Write an equation that shows how the total number of square yards refinished, y, depends on the number of weekdays Kinsley works, x
y = 5(2)x
Solve for v in terms of s, t, and u. s = v – u + t
v = s + u - t
J – 7.16 = 1.84
J = 9
3k = 9 + 6k
k = -3
p/5>2
p > 10
Write a function following this table:
x 5 6 7 8 9
y 6 9 12 15 18
y = 3x - 9
Solve for w in terms of x, y, z. y = xwz
w = y/xz
(m+9)/4 = 3
m = 3
2n – 8 = 4n + 4
n = -6
3a – 7 < -1
a < 2
Write a function that models this situation
x 0 1 2 3 4
y -6 -18 -54 -162 -486
y = -6(3)x
Solve for w in terms of P and l p = 2w + 2l
w = (p - 2L)/w
2 = d/4 – 1
d = 12
-3g – 10 = -6g + 8
g = 6
-2b – 7 < -5
b > -1