It costs a baker a fixed cost of $420 and variable cost of $2.10 per cupcake. A cupcake is sold for $4.90 each. (i) Make a table showing the cost of producing 20,40,60,80 and 100 cupcakes. (ii) Make a table showing the revenue from selling 20,40,60,80 and 100 cupcakes. (iii) Write an algebraic expression representing the cost C as a function of the number ofcupcakes x that are produced. (iv) Write an algebraic expression representing the revenue R as a function of the number ofcupcakes x sold. (v) Graph both functions on the same coordinate axes. (vi) From your graph find coordinatae at which cost equals revenue. (vii) Using your graph, determine how many cupcakes need to be made to produce revenue of at least $1,029.How much profit is made for this number of cupcakes?
Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
It costs a baker a fixed cost of $420 and variable cost of $2.10 per cupcake. A cupcake is sold for $4.90 each.
(i) Make a table showing the cost of producing 20,40,60,80 and 100 cupcakes.
(ii) Make a table showing the revenue from selling 20,40,60,80 and 100 cupcakes.
(iii) Write an algebraic expression representing the cost C as a function of the number of
cupcakes x that are produced.
(iv) Write an algebraic expression representing the revenue R as a function of the number of
cupcakes x sold.
(v) Graph both functions on the same coordinate axes.
(vi) From your graph find coordinatae at which cost equals revenue.
(vii) Using your graph, determine how many cupcakes need to be made to produce revenue of at least $1,029.How much profit is made for this number of cupcakes?
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