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mylen [45]
3 years ago
9

Carla pays $20 per month for her phone service, plus $0.08 for each long

Mathematics
1 answer:
Kisachek [45]3 years ago
3 0

Answer:

Slope = 0.08 dollars per minutes.

Step-by-step explanation:

Carla pays $20 per month for her phone service, plus $0.08 for each long-distance minute used.

Therefore, if Carla talks for m minutes in the long-distance call, then the situation can be modeled by the equation  

C = 20 + 0.08m ............ (1), where C is the total cost for her phone service per month.

Here, 20 is the fixed price and 0.08m is the variable price for her phone charges.

This equation (1) represents a straight line with y-intercept as 20 and the slope as 0.08, where m plotted along x-axis and C is plotted along the y-axis. (Answer)

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<u>answer (in words)</u>

FALSE. the coordinate pair (5, 2) is not a solution to the equation 2x+3y=10. in order to figure out whether or not the statement is true or false, plug the x and y values from the coordinate pair (5, 2) into the given equation, 2x+3y=10. if both sides of the equation end up equal, the coordinate pair is a solution to the equation. if not, the coordinate pair is not a solution to that equation.

<em>(i hope i explained that well enough, i'm better at explaining it algebraically as opposed to putting it into words lol)</em>

<u>answer (algebraic/steps for solving)</u>

first, plug in 5 for x in the equation 2x+3y=10.

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then plug in 2 for y.

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now your equation is 2(5)+3(2)=10. all that's left to do is to simplify. you can do this in whatever order you'd like, but i'll start with multiplying 2 · 5.

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multiply 3 · 2.

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add 10 + 6.

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16 and 10 are <em>not</em> equal, therefore (5, 2) is not a solution to the equation 2x+3y=10. in order for a coordinate pair to be the solution to an equation, both sides of the equation need to end up equal after solving and simplifying.

i hope this helps! have a great rest of your day <3

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