# For what number of days, x, will the total cost ofbuying the materials and renting the tools fromStore B be less than or equal to

Question

For what number of days, x, will the total cost ofbuying the materials and renting the tools fromStore B be less than or equal to the total cost ofbuying the materials and renting the tools fromStore A ?A) x ≤ 6B) x ≥ 6C) x ≤ 7.3D) x ≥ 7.3

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2 weeks 2023-01-17T07:56:45+00:00 1 Answer 0 views 0

1. Correct option is A. For x<= 6 will the total cost of buying the materials and renting the tools.
In terms of the number of days, x, from shop A, the total price, y, for purchasing the goods and renting the tools is –
y=750+(15+65)x,
y=750+80x.
Similar to this, the total cost y for purchasing the supplies and renting the tools from store B is
y=600+(25+80)x,
y=60+105x.
Given that purchasing goods and renting equipment from store B will cost less overall or the same as purchasing materials and renting tools from store A.
⇒ 60+105x ≤ 750+80x.
⇒ 105x−80x≤750−60
⇒ 25x≤150
⇒x≤6

### Complete question –

Mr. Martinson is building a concrete patio in his
backyard and deciding where to buy the materials and
rent the tools needed for the project. The table below
shows the materials’ cost and daily rental costs for three
different stores.
The total cost, \$y,\$ for buying the materials and renting the
tools in terms of the number of days, \$x,\$ is given by
\$y=M+(W+K) x\$
For what number of days, \$x,\$ will the total cost of
buying the materials and renting the tools from
Store B be less than or equal to the total cost of
buying the materials and renting the tools from
Store \$A\$ ?
A) x ≤ 6B) x ≥ 6C) x ≤ 7.3D) x ≥ 7.3