Which statements describe the graph of 2 8/9xon a number line? Select three options.
2 answers:
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In 16 months, two trees will be of same height
The trees will be of 58 inches tall
<em><u>Solution:</u></em>
Let "x" be the number of months
<em><u>The maple tree that is 42 inches tall is growing 1 inch per month</u></em>
Thus, equation for maple tree is given as:
Maple tree : 42 + 1 inch (number of months)
Maple tree : 42 + x ------- eqn 1
<em><u>The oak tree that is 10 inches tall is growing 3 inches per month</u></em>
Thus, equation for oak tree is given as:
Oak tree : 10 + 3 inch (number of months)
Oak tree : 10 + 3x -------- eqn 1
<em><u>For two two trees to be equal in height, equate eqn 1 and eqn 2</u></em>
Thus, in 16 months, two trees will be of same height
<em><u>What will that height be?</u></em>
Substitute x = 16 in any one eqn
Thus the trees will be of 58 inches tall