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You run 1/2 mile on Sunday. On each day after the weekend, you run 1.5 times as far as you did the day before. 

a) How far do you run Monday?

b) Write and evaluate an expression to find the distance you un 5 days after Sunday (Friday). Round to the nearest tenth of a mile.

If you can help me than please do! 

I would like you to tell me how you did it though. Thanks! 

 May 14, 2014

Best Answer 

 #3
avatar+118724 
+10

sunday 0.5

Mon 0.5*1.5

Tues 0.5*1.5*1.5

Day 5 (friday): 0.5*1.5^5=

$${\mathtt{0.5}}{\mathtt{\,\times\,}}{{\mathtt{1.5}}}^{{\mathtt{5}}} = {\frac{{\mathtt{243}}}{{\mathtt{64}}}} = {\mathtt{3.796\: \!875}}$$

which is 3.8 miles

 May 15, 2014
 #1
avatar
+5

basically

 monday $${\mathtt{0.5}}{\mathtt{\,\times\,}}{\mathtt{1.5}} = {\frac{{\mathtt{3}}}{{\mathtt{4}}}} = {\mathtt{0.75}}$$

then

tuesday $${\mathtt{0.75}}{\mathtt{\,\times\,}}{\mathtt{1.5}} = {\frac{{\mathtt{9}}}{{\mathtt{8}}}} = {\mathtt{1.125}}$$

and

wednesday $${\mathtt{1.125}}{\mathtt{\,\times\,}}{\mathtt{1.5}} = {\frac{{\mathtt{27}}}{{\mathtt{16}}}} = {\mathtt{1.687\: \!5}}$$

and so on by multiplying the result of the last sum by 1.5

then round the results as required to 1 decimal place

0.8 , 1.2 , 1.7 etc.

 May 14, 2014
 #2
avatar
+5

the formula would be .5+1.5x where x equals the number of days since sunday

 May 15, 2014
 #3
avatar+118724 
+10
Best Answer

sunday 0.5

Mon 0.5*1.5

Tues 0.5*1.5*1.5

Day 5 (friday): 0.5*1.5^5=

$${\mathtt{0.5}}{\mathtt{\,\times\,}}{{\mathtt{1.5}}}^{{\mathtt{5}}} = {\frac{{\mathtt{243}}}{{\mathtt{64}}}} = {\mathtt{3.796\: \!875}}$$

which is 3.8 miles

Melody May 15, 2014

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