$8$:$10$

$93$

Daniel Lua$-$Meji...

Problem of the Week: Salinas Bridge

Page: $1$

Above diagram shows the cross section of a bridge that is to be built across the Salinas River.

Design Specifications

The bridge is $55\mathrm{.}5$ meters wide.

The distance from either edge of the bridge to the nearest I$-$beam is $3$ m $.$

The thickness of the web of each I$-$beam is $0\mathrm{.}75$ m $.$

The distance between each I$-$beam to the next is the same. Refer to this distance as x $.$

Write an equation that will help you find the distance between each I$-$beam $"x".$

Solve your equation for x $.$ What is the distance between the I$-$beams? Show all your work.

$x=,$ meters

Two companies offer bids on building the bridge. The bids depend on the distance x and the number of I$-$beams.

Problem of the Week: Salinas Bridge

Page: $2$

$3.$ City of Salinas decision:

a$.$ What are the total bids from each company? Write an expression in terms of x for each company and find the totals.

b$.$ In order to save money, which company should the City of Salinas select?

$4.$ Suppose the distance $x$ could be adjusted. For what value of $x$ would the bids from the two companies

Problem of the Week: Salinas Bridge

Page: $1$

Above diagram shows the cross section of a bridge that is to be built across the Salinas River.

Design Specifications

The bridge is $55\mathrm{.}5$ meters wide.

The distance from either edge of the bridge to the nearest I$-$beam is $3$ m $.$

The thickness of the web of each I$-$beam is $0\mathrm{.}75$ m $.$

The distance between each I$-$beam to the next is the same. Refer to this distance as x$.$

Write an equation that will help you find the distance between each I$-$beam $"x".$

Solve your equation for x $.$ What is the distance between the I$-$beams? Show all your work.

$x=,$ meters

Two companies offer bids on building the bridge. The bids depend on the distance x and the number of I$-$beams.

Williams Design

$($Proposal$)$ $$300,000$ per $x$ $$60,000$ per I$-$beam

Monte Bella Company

$($Proposal$)$ $$320,000$ per $x$ $$40,000$ per I$-$beam