Mrs.Roberts charges 25 for a basic cake that serves 12 people. If you want a large cake, it costs an additional $1.25 per servin
1 answer:
The total cost of a cake that serves 20 people is $35.
<u>Step-by-step explanation</u>:
- Total cost = y
- Number of additional servings = x
- The number of additional servings = 20 - 12 = 8. (x=8)
<u>The equation can be formed as</u>:
- Total cost = basic cost + (No. of additional serving
cost per additional serving)
- y = 25 + x1.25
- Substitute x=8 in the above equation
- y = 25 + 8(1.25)
- y =25+10
- y = 35
Therefore, the total cost of a cake that serves 20 people is $35.
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Answer:
The function of g(x) = 5x + 2
Step-by-step explanation:
Let us use the composite function to solve the question
∵ f(x) = 2x - 1
∵ f(g(x)) = 10x + 3
→ f(g(x)) means substitute x in f(x) by g(x)
∴ f(g(x)) = 2[g(x)] - 1
→ Equate the two right sides of f(g(x))
∴ 2[g(x)] - 1 = 10x + 3
→ Add 1 to both sides
∴ 2[g(x)] - 1 + 1 = 10x + 3 + 1
∴ 2[g(x)] = 10x + 4
→ Divide each term into both sides by 2
∵ =
+
∴ g(x) = 5x + 2
∴ The function of g(x) = 5x + 2