Write an inequality that represents the cost of making x amount of cakes should not exceed this investment. then Solve this inequality and choose the graph of the solution.
* Make sure to round to the nearest dollar.
Let's say the cost of making one cake is $c. Then, the cost of making x cakes will be x times the cost of making one cake, which can be represented as xc.
We are given that the cost of making x cakes should not exceed this investment. Let's say the investment is $I.
Therefore, the inequality representing the cost of making x cakes should not exceed the investment is:
xc ≤ I
To solve this inequality, we need a specific value for the investment I. Let's say the investment is $500.
Therefore, the inequality becomes:
xc ≤ 500
To graph the solution, let's use the values c = $10 and I = $500.
Substituting these values into the inequality, we get:
10x ≤ 500
Simplifying, we find:
x ≤ 50
The graph of the solution is a line on the coordinate plane where x is less than or equal to 50.
To write an inequality representing the cost of making x amount of cakes, we need to assume a fixed cost per cake. Let's call this cost "c". We also need to consider the total investment "I" that we want to stay within.
The cost of making x cakes is given by the equation: Cost = c * x
To represent that this cost should not exceed the investment, we can write the inequality: c * x ≤ I
To solve this inequality and find the range of values for x, we divide both sides of the inequality by c: x ≤ I/c
Now let's round this value to the nearest whole number, since cakes usually cannot be made in fractions.
To choose the graph of the solution, we plot x on the horizontal axis and the inequality x ≤ I/c on a number line. We shade the region to the left of the point indicated by I/c and label it as the solution.
To represent the cost of making x amount of cakes, we can use the inequality:
Cost of making x cakes ≤ Investment
Let's assume the cost of making each cake is $C, then the inequality becomes:
C * x ≤ Investment
To solve this inequality, divide both sides by C:
x ≤ Investment / C
Since we're asked to round to the nearest dollar, the solution is:
x ≤ round(Investment / C)
The graph of the solution would be a solid line with a shaded region to the left, indicating all possible values of x that satisfy the inequality.