Jake plans to take a summer job at the recreation center as a lifeguard. He can be paid according to two different plans.
1 answer:
Payment on Plan A = $300
x is the number of hours Jake works.
Payment on Plan B = Fixed charges + (charge per hour) × (number of hours worked)
= $150 + $6.25(x)
= 150 + 6.25x
Since, the payment on Plan B should be more than Plan A,
150 + 6.25x > 300
6.25x > 300 - 150
6.25x > 150
x > 24
The minimum vale for x which satisfies this inequality is 25.
Hence, x = 25.
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Using the concept of proportional, it is found that the value of x for the given similar triangles is 2.
<h3>What is a proportion?</h3>A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
Since two triangles ΔACD and ΔABE are similar triangles, then their corresponding sides will be proportional.
Therefore, AC/ AB = AD / AE
By substituting the measures of the sides here;
AC/ AB = AD / AE
(x + 10) / 10 = (15 +3) / 15
15(x + 10) = 180
x + 10 = 12
x = 12 - 10
x = 2
Therefore, the value of x for the given similar triangles is 2.
More can be learned about proportions at;
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Answer:
Step-by-step explanation:
Given: The snow started melting at a rate of 0.75 inches per hour and it is known that 4 hours after the storm ended, after the storm ended, the depth of snow was down to 9 inches.
Snow melted in 4 hours =
Initial depth of snow = 9 + 3 inches = 12 inches.
Now, depth of snow on Tristan's lawn = Initial depth -0.75(Number of hours)
Let S(t) be the depth of snow on Tristan's lawn, in inches, t hours after the snow stopped falling.
Then,