Jasmine is on a cell phone plan where she pays $20 a month plus $0.10 per text message. she does not want to spend more than $40 on her cell phone bill. write and solve the inequality that will tell her how many text messages she can send.
a) 20 + 10x ≤ 40; she can send 2 text messages.
b) 20 + 10x ≥ 40; she can send 2 text messages.
c) 20 + 0.10x ≤ 40; she can send 20 text messages.
d) 20 + 0.10x ≤ 40; she can send 200 text messages.

D) 20 + 0.10x ≤ 40; She can send 200

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given part by part:

So, if the number of messages is the variable (x), the money that she spends per month is the sum of the cell phone plan ($20) and the number of text messages sent (x) multiplied by the price of each text ($0.10).

Mathematically speaking:

20 + 0.10x

She does not want to spend more than $40 on her cell phone bill.

So, the expression must be equal or less (≤) than $40:

20 + 0.10x ≤ 40

Solving:

20 + 0.10x ≤ 40

0.10x ≤ 40-20

0.10x ≤ 20

x ≤ 20 / 0.10

x ≤ 200

She can send 200 text messages.

The correct option is D) 20 + 0.10x ≤ 40; she can send 200 text messages.

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step-by-step explanation:

given expression is .

now we need to simplify the given expression .

we know that square root is equivalent to the power 1/2. so that means we can take half of the exponents to get the square root of given expression.

expanding that will give a very very large number so let's keep answer in exponent form.