Answer:
25
Step-by-step explanation:
When we write expressions for the total cost of each field visit and set them equal, we find the solution to be the ratio of the difference in fixed cost to the difference in variable cost.
y = 75 +7x . . . . . cost for x students to visit the science center
y = 50 +8x . . . . cost for x students to visit the natural history museum
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Subtracting the first equation from the second, we get ...
0 = -25 +x
25 = x . . . . . add 25; the number of students such that costs are equal
The cost will be the same either place for 25 students.
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<em>Additional comment</em>
Here, the fixed cost difference is 75-50=25, and the variable cost difference is 8-7=1. The ratio of these costs is ...
$25/($1 /student) = 25 students.
This relationship only holds when the higher fixed cost is associated with the lower variable cost. Charges are such that one place caters to larger numbers of students (science center), and one prefers fewer students (natural history museum).
2x + 3 = 9 Move all terms not containing x to the right side of the equation.
2x = 6 Divide each term by 2 and simplify.
x=3
Answer:
10
Step-by-step explanation:
(12 + x0.5) <= 17
No, Mr.Evans will make under $400. His base pay, 9.20 times the hours he worked at regular pay(40) would equal $368. Now, take those extra 2.25 hours he worked at 1.5 times his base pay of 9.20, which would give you $13.80. Now, multiply 13.80 and 2.25, and you get 31.05. These two amount added, would equal $399.05, leaving Mr. Evans at just under $400 earned that week.
