Answer:
m(c(a)) = 4.8875a can be used to find the marked-up price of a marble countertop depending on the area
Step-by-step explanation:
We are given that The cost for the raw materials of marble countertops, C s can be represented by the function c(a) = 4.25a --------1
a = area of the countertops.
we are also given that The retail markup, m, can be represented by the function m(c) = 1.15c.
We are supposed to find function can be used to find the marked-up price of a marble countertop depending on the area?
Marked up price function : m(c) = 1.15c.
Substitute the value of c form 1
Marked up price function of a marble countertop depending on the area:
m(c(a))=1.15(4.25 a)
m(c(a))= 4.8875 a
So, Option 1 is true
Hence m(c(a)) = 4.8875a can be used to find the marked-up price of a marble countertop depending on the area
The true statements about the equation y = 1.4x are
- (a) The equation represents a proportional relationship
- (b) The unit rate of y with respects to x is 1.4
- (d) A change of 2 units in x results in a change of 2.8 units in y
<h3>What are linear equations?</h3>
Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient
<h3>How to determine the true statements?</h3>
The equation is given as:
y = 1.4x
The above equation is a proportional linear equation.
This is so because proportional linear equations are represented as;
y = mx
Where m represents the unit rate of change
So, we have:
m = 1.4
Rewrite as:
m = 14/10
Simplify
m = 7/5
When x = 2, we have:
y = 1.4 * 2
Evaluate
y = 2.8
Hence, the true statements about the equation y = 1.4x are (a), (b) and (d)
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The water consumption based on the information for three months will be 22267m³.
<h3>How to calculate the values?</h3>
The total water consumption for the three months will be:
= 7219 + 7390 + 7658
= 22267m³
In conclusion, the information simply wants you to add the values of the water given.
Therefore, the water consumption based on the information for three months will be 22267m³.
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