Olivia is hosting a dinner party in her garden. She has hired caterers to serve dinner. The caterers charge a fee to set-up the
dinner and $3 per person attending. The cost for 10 dinner guests is $70. Write an equation showing the cost of the dinner party as a function of the number of guests
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If the pattern (see attachment) below was tripled, the ratio of black squares to gray squares would be equal to 1:2.
<h3>What is a proportion?</h3>A proportion can be defined as an equation which is typically used to represent (indicate) the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.
Mathematically, a direct proportion can be represented by the following equation:
y = kx
Where:
- y and x are the variables.
- k represents the constant of proportionality.
A ratio can be defined as a mathematical expression that's used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.
For this exercise, the ratio of black square to gray squares is given by:
B:G = 1:2
Tripling the pattern, we would multiply by three (3) as follows:
B:G = [1:2] × 3
B:G = 3:6
Dividing all through by 3, we have:
B:G = [3:6]/3
B:G = 3/3 : 6/3
B:G = 1:2.
Read more on ratio here: brainly.com/question/13513438
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