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Bingel [31]
4 years ago
15

or her cell phone plan, Heather pays $30 per month plus $0.05 per text. She wants to keep her bill under $60 per month. Which in

equality represents the number of texts, t, Heather can send each month while staying within her budget?
Mathematics
2 answers:
RSB [31]4 years ago
7 0
She can send 600 texts since she wants to pay $30 for her plan. Divide 30 by 0.05 and you get 600
Komok [63]4 years ago
4 0
The inequality $0.05t+$30 > $60 represents how much she could text to keep her bill under $60
 To solve this we would first subtract the Y intercept, which we know is $30 because that's how much she pays per month even with out text
So, 60-30=30
The inequality is now 
$0.05t > 30

Either equation, $0.05t ≥ $30   or   $0.05t+$30 ≥ $60 could both represent how much she could text with her bill being less than $60
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Use the table to answer the question.
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Given:

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Solution:

If a linear function passes through the two points, then the equation of the linear relationship is

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

Consider any two point from the given table. Let the two points are (-1,-1) and (0,1). So, the equation of the linear relationship is

y-(-1)=\dfrac{1-(-1)}{0-(-1)}(x-(-1))

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Using distributive property, we get

y+1=2(x)+2(1)

y+1=2x+2

Subtracting 1 from both sides, we get

y+1-1=2x+2-1

y=2x+1

Therefore, the required equation is y=2x+1. Hence, the correct option is D.

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