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Misha Larkins [42]
3 years ago
7

Sam is trying to determine which cell phone and service plan to buy for his mother. The first phone costs $100 and $55 per month

for unlimited usage. The second iphone costs $150 and $51 per month for unlimited usage. How many months will it take for the second phone to be less expensive than the first phone?

Mathematics
2 answers:
antoniya [11.8K]3 years ago
5 0

Answer:

Here it is solve the inequality and round up when determining the number of months.

You are welcome and don't forget to hit <u>THANKS</u>

vodomira [7]3 years ago
4 0

Answer:

13 months

Step-by-step explanation:

x is the number of months

first phone:

f(x) = 55x + 100

second phone:

g(x) = 51x + 150

now set up the inequality

g(x)<f(x)

51x + 150 < 55x + 100

Solve the inequality: 

51x + 150 < 55x + 100

(get everything on the correct sides... combine the like terms)

51x - 55x < 100 - 150

-4x < -50

divide both sides by -4 (don't forget to flip the inequality sign when dividing by a negative number.)

x > 50/4

x > 12.5

round up to 13

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If your cell phone bill was 67 Point $82 and there is a 7.5% late fee how much will your bill be with the late fee included
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Eden just bought a trough in the shape of a rectangular prism for her horses. She needs to know what volume of water to add to t
notsponge [240]

The volume of the trough is V(w) = w³ + 20w² - 429w and the rate of change of the volume over a width of 38 inches to 53 inches is 4695 in³/in

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Let w represent the width, hence:

length = w + 33, height = w - 13

Volume (V) = w(w + 33)(w - 13) = w³ + 20w² - 429w

V(w) = w³ + 20w² - 429w

Rate of change = dV/dw = 3w² + 40w - 429

When w = 38, dV/dw = 3(38)² + 40(38) - 429 = 5423

When w = 53, dV/dw = 3(53)² + 40(53) - 429 = 10118

Rate = 10118 - 5423 = 4695 in³/in

The volume of the trough is V(w) = w³ + 20w² - 429w and the rate of change of the volume over a width of 38 inches to 53 inches is 4695 in³/in

Find out more on equation at: brainly.com/question/2972832

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