Question

Hiroto’s texting plan costs $20 per month, plus $0.05 per text message that is sent or received. Emilia’s plan costs $10 per month and $0.25 per text. Using the graph below, which statement is true?

Answer 1

Hello
My answer is:
1st statement is correct.
I hope you that my answer will help you .

Answer 2

Answer:

Statement 4 is true.

Explanation:

Step 1:

Texting plan costs = $20 per month,

Plus $0.05 per text message  is sent or received.

Step 2:

Cost Equation

H(y)=20+0.05y

E(y)=10+0.25y

Statement 1:

Both plan cost when more than 50 texts are sent

Y = 50+1 = 51

H(y)=20+0.05y

$=20+0.05\times51=22.55\\\\E(y)=10+0.25y\\\\=10+0.25\times51\\\\=22.75$

Statement is FALSE.

Statement 2:

Y=22

$H(y)=20+0.05y\\\\=20+0.05\times22\\\\=21.1\\\\E(y)=10+0.25y\\\\=10+0.25\times22\\\\=15.5$

Statement is FALSE.

Statement 3:

Y=22+1=23

$\\ \mathrm{E}(\mathrm{y})=20+0.05 \mathrm{y} \\\\ =20+0.05 \times 23 \\\\ =21.15 \\\\ \mathrm{E}(\mathrm{y})=10+0.25 \mathrm{y} \\\\ =10+0.25 \times 23 \\\\ =15.75$

Here H(Y)>E(Y)

Statement is FALSE.

Statement 4:

Y = 50

$\\ \mathrm{H}(\mathrm{y})=20+0.05 \mathrm{y} \\\\ =20+0.05 \times50 \\\\ =22.5$

The value of H(y) is 22.5

$\\ \mathrm{E}(\mathrm{y})=10+0.25 \mathrm{y} \\\\ =10+0.25 \times 50 \\\\ =22.5$

The value of E(y) is 22.5

Statement is TRUE.