Question

Sally wants to buy her friend a bouquet for his birthday. She wants it to contain both carnations and roses. She has $27.30 to spend. Carnations cost $1.42 each and roses cost $2.35 each. Which graph below represents the possible combinations of numbers of carnations and roses Sally can afford to buy?​

Answer 1

Graph D

Explanation:

27.30 / 1.42 ≈ 19 (carnations max)

27.30 / 2.35 ≈ 11 (roses max)

HOWEVER, she wants it to contain BOTH carnations AND roses.

Therefore, we need to adjust our equation to include at least one of the other plants.

(27.30 - 2.35) / 1.42 ≈ 17 (carnations max)

(27.30 - 1.42) / 2.35 ≈ 10 (roses max)

Only graph D touches 17 carnations and 1 rose; and 10 roses and 1 carnation with a minimum of one for both plants.

Answer 2

The answer to your question is: letter A

Explanation:

Data

Total cost = $27.30

carnations = $1.42 = x

roses = $2.35 = y

Equation

1.42x + 2.35y = 27.30

Solve for y

2.35y = -1.42x + 27.30

y = -(1.42/2.35) + (27.30/2.35)

y = -0.604x + 11.61

Find x and y-intercepts

When x = 0 y = -0.604(0) + 11.61

y = 11.61

Point (0, 11.61)

When y = 0

0 = -0-604x + 11.61

x = 11.61/ -0.604

x = 19.22

Point (19.22, 0)

Look for which graph has these 2 points.

I think is letter A